18.06 Linear Algebra | Video LecturesThis section contains a complete set of video lectures along with transcripts and related resource files.
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures
2013-04-02T15:44:17+05:00MIT OpenCourseWare http://ocw.mit.eduen-USContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 1: The geometry of linear equations<div class="vidpad"><p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p> <p style="margin-bottom: 20px;"><a target="_blank" href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a target="_blank" href="http://math.mit.edu/linearalgebra/"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a target="_blank" href="http://www.wellesleycambridge.com/">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p> <p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p></div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L01.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-1-the-geometry-of-linear-equations/18.06_L01.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-1-the-geometry-of-linear-equations/18.06_L01.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/01_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1335107526?i=1088598682>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/ZK3O402wf1c>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-1-the-geometry-of-linear-equations
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 2: Elimination with matrices<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L02.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-2-elimination-with-matrices/18.06_L02.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-2-elimination-with-matrices/18.06_L02.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/02_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336598382?i=1905531441>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/QVKj3LADCnA>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-2-elimination-with-matrices
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 3: Multiplication and inverse matrices<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L03.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-3-multiplication-and-inverse-matrices/18.06_L03.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-3-multiplication-and-inverse-matrices/18.06_L03.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/03_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1335091109?i=1790060226>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/FX4C-JpTFgY>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-3-multiplication-and-inverse-matrices
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 4: Factorization into A = LU<div class="vidpad"><p>*Please note that Lecture 4 is unavailable in a higher quality format.</p><p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p> <p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p> <p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p></div><p> </p>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L04.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-4-factorization-into-a-lu/18.06_L04.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-4-factorization-into-a-lu/18.06_L04.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/04_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1335386028?i=1563938008>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/5hO3MrzPa0A>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-4-factorization-into-a-lu
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 5: Transposes, permutations, spaces R^n<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L05.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-5-transposes-permutations-spaces-r-n/18.06_L05.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-5-transposes-permutations-spaces-r-n/18.06_L05.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/05_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336500146?i=1626663972>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/JibVXBElKL0>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-5-transposes-permutations-spaces-r-n
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 6: Column space and nullspace<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L06.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-6-column-space-and-nullspace/18.06_L06.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-6-column-space-and-nullspace/18.06_L06.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/06_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336695793?i=1709795314>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/8o5Cmfpeo6g>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-6-column-space-and-nullspace
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 7: Solving Ax = 0: pivot variables, special solutions<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L07.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-7-solving-ax-0-pivot-variables-special-solutions/18.06_L07.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-7-solving-ax-0-pivot-variables-special-solutions/18.06_L07.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/07_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336794900?i=1769085676>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/VqP2tREMvt0>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-7-solving-ax-0-pivot-variables-special-solutions
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 8: Solving Ax = b: row reduced form R<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L08.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-8-solving-ax-b-row-reduced-form-r/18.06_L08.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-8-solving-ax-b-row-reduced-form-r/18.06_L08.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/08_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336516413?i=1472530410>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/9Q1q7s1jTzU>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-8-solving-ax-b-row-reduced-form-r
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 9: Independence, basis, and dimension<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L09.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-9-independence-basis-and-dimension/18.06_L09.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-9-independence-basis-and-dimension/18.06_L09.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/09_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336614671?i=1963413343>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/yjBerM5jWsc>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-9-independence-basis-and-dimension
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 10: The four fundamental subspaces<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L10.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-10-the-four-fundamental-subspaces/18.06_L10.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-10-the-four-fundamental-subspaces/18.06_L10.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/10_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336516478?i=1663343581>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/nHlE7EgJFds>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-10-the-four-fundamental-subspaces
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 11: Matrix spaces; rank 1; small world graphs<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L11.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-11-matrix-spaces-rank-1-small-world-graphs/18.06_L11.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-11-matrix-spaces-rank-1-small-world-graphs/18.06_L11.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/11_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336500279?i=1760607766>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/2IdtqGM6KWU>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-11-matrix-spaces-rank-1-small-world-graphs
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 12: Graphs, networks, incidence matrices<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L12.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-12-graphs-networks-incidence-matrices/18.06_L12.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-12-graphs-networks-incidence-matrices/18.06_L12.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/12_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336516569?i=2022828303>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/6-wh6yvk6uc>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-12-graphs-networks-incidence-matrices
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 13: Quiz 1 review<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L13.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-13-quiz-1-review/18.06_L13.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-13-quiz-1-review/18.06_L13.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/13_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1335386236?i=1656326465>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/l88D4r74gtM>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-13-quiz-1-review
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 14: Orthogonal vectors and subspaces<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L14.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-14-orthogonal-vectors-and-subspaces/18.06_L14.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-14-orthogonal-vectors-and-subspaces/18.06_L14.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/14_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1335943269?i=2096203083>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/YzZUIYRCE38>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-14-orthogonal-vectors-and-subspaces
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 15: Projections onto subspaces<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L15.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-15-projections-onto-subspaces/18.06_L15.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-15-projections-onto-subspaces/18.06_L15.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/15_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336664039?i=1349985428>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/Y_Ac6KiQ1t0>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-15-projections-onto-subspaces
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 16: Projection matrices and least squares<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L16.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-16-projection-matrices-and-least-squares/18.06_L16.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-16-projection-matrices-and-least-squares/18.06_L16.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/16_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1335353381?i=1531637006>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/osh80YCg_GM>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-16-projection-matrices-and-least-squares
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 17: Orthogonal matrices and Gram-Schmidt<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L17.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-17-orthogonal-matrices-and-gram-schmidt/18.06_L17.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-17-orthogonal-matrices-and-gram-schmidt/18.06_L17.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/17_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336844442?i=2102089498>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/uNsCkP9mgRk>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-17-orthogonal-matrices-and-gram-schmidt
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 18: Properties of determinants<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L18.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-18-properties-of-determinants/18.06_L18.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-18-properties-of-determinants/18.06_L18.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/18_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336664140?i=1189798547>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/srxexLishgY>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-18-properties-of-determinants
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 19: Determinant formulas and cofactors<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L19.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-19-determinant-formulas-and-cofactors/18.06_L19.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-19-determinant-formulas-and-cofactors/18.06_L19.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/19_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336795209?i=1162630935>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/23LLB9mNJvc>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-19-determinant-formulas-and-cofactors
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 20: Cramer's rule, inverse matrix, and volume<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a target="_blank" href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a target="_blank" href="http://math.mit.edu/linearalgebra/"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a target="_blank" href="http://www.wellesleycambridge.com/">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p style="margin-bottom: 20px;"><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L20.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-20-cramers-rule-inverse-matrix-and-volume/18.06_L20.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-20-cramers-rule-inverse-matrix-and-volume/18.06_L20.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/20_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336712577?i=1283314427>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/QNpj-gOXW9M>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-20-cramers-rule-inverse-matrix-and-volume
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 21: Eigenvalues and eigenvectors<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p style="margin-bottom: 20px;"><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L21.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-21-eigenvalues-and-eigenvectors/18.06_L21.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-21-eigenvalues-and-eigenvectors/18.06_L21.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/21_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336680571?i=1627316422>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/lXNXrLcoerU>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-21-eigenvalues-and-eigenvectors
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 22: Diagonalization and powers of A<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p style="margin-bottom: 20px;"><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L22.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-22-diagonalization-and-powers-of-a/18.06_L22.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-22-diagonalization-and-powers-of-a/18.06_L22.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/22_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1334944235?i=1551223242>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/13r9QY6cmjc>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-22-diagonalization-and-powers-of-a
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 23: Differential equations and exp(At)<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L23.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-23-differential-equations-and-exp-at/18.06_L23.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-23-differential-equations-and-exp-at/18.06_L23.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/23_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336680596?i=1165187636>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/IZqwi0wJovM>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-23-differential-equations-and-exp-at
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 24: Markov matrices; fourier series<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L24.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-24-markov-matrices-fourier-series/18.06_L24.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-24-markov-matrices-fourier-series/18.06_L24.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/24_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336712632?i=1607598969>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/8MF3pz-oYHo>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-24-markov-matrices-fourier-series
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 24b: Quiz 2 review<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L24b.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-24b-quiz-2-review/18.06_L24b.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-24b-quiz-2-review/18.06_L24b.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/24b_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1388495157?i=1401348462>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/sFxA8eIS6tA>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-24b-quiz-2-review
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 25: Symmetric matrices and positive definiteness<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a target="_blank" href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a target="_blank" href="http://math.mit.edu/linearalgebra/"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a target="_blank" href="http://www.wellesleycambridge.com/">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L25.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-25-symmetric-matrices-and-positive-definiteness/18.06_L25.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-25-symmetric-matrices-and-positive-definiteness/18.06_L25.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/25_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336712648?i=1559374466>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/umt6BB1nJ4w>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-25-symmetric-matrices-and-positive-definiteness
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 26: Complex matrices; fast fourier transform<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L26.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-26-complex-matrices-fast-fourier-transform/18.06_L26.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-26-complex-matrices-fast-fourier-transform/18.06_L26.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/26_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336516782?i=1168189462>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/M0Sa8fLOajA>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-26-complex-matrices-fast-fourier-transform
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 27: Positive definite matrices and minima<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L27.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-27-positive-definite-matrices-and-minima/18.06_L27.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-27-positive-definite-matrices-and-minima/18.06_L27.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/27_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336712668?i=1248437553>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/vF7eyJ2g3kU>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-27-positive-definite-matrices-and-minima
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 28: Similar matrices and jordan form<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L28.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-28-similar-matrices-and-jordan-form/18.06_L28.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-28-similar-matrices-and-jordan-form/18.06_L28.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/28_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1334944290?i=1510187374>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/z_zYQHmrh08>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-28-similar-matrices-and-jordan-form
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 29: Singular value decomposition<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L29.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-29-singular-value-decomposition/18.06_L29.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-29-singular-value-decomposition/18.06_L29.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/29_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336501314?i=1669518530>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/Nx0lRBaXoz4>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-29-singular-value-decomposition
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 30: Linear transformations and their matrices<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L30.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-30-linear-transformations-and-their-matrices/18.06_L30.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-30-linear-transformations-and-their-matrices/18.06_L30.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/30_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336845413?i=1824849081>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/Ts3o2I8_Mxc>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-30-linear-transformations-and-their-matrices
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 31: Change of basis; image compression<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L31.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-31-change-of-basis-image-compression/18.06_L31.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-31-change-of-basis-image-compression/18.06_L31.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/31_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1336845413?i=1824849081>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/vGkn-3NFGck>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-31-change-of-basis-image-compression
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 32: Quiz 3 review<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" alt="Amazon logo" src="/images/a_logo_17.gif" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L32.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-32-quiz-3-review/18.06_L32.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-32-quiz-3-review/18.06_L32.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/32_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1335387290?i=2073431429>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/HgC1l_6ySkc>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-32-quiz-3-review
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 33: Left and right inverses; pseudoinverse<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L33.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-33-left-and-right-inverses-pseudoinverse/18.06_L33.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-33-left-and-right-inverses-pseudoinverse/18.06_L33.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/33_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1335387242?i=1205408615>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/Go2aLo7ZOlU>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-33-left-and-right-inverses-pseudoinverse
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmLecture 34: Final course review<div class="vidpad">
<p>These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. However, this book is still the best reference for more information on the topics covered in each lecture.</p>
<p style="margin-bottom: 20px;"><a href="http://www.amazon.com/exec/obidos/ASIN/0980232716/ref=nosim/mitopencourse-20" target="_blank"><img border="0" align="absMiddle" src="/images/a_logo_17.gif" alt="Amazon logo" /></a> Strang, Gilbert. <a href="http://math.mit.edu/linearalgebra/" target="_blank"><em>Introduction to Linear Algebra</em></a>. 4th ed. Wellesley, MA: <a href="http://www.wellesleycambridge.com/" target="_blank">Wellesley-Cambridge Press</a>, February 2009. ISBN: 9780980232714.</p>
<p><strong>Instructor/speaker:</strong> Prof. Gilbert Strang</p>
</div>Transcript: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L34.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-34-final-course-review/18.06_L34.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-34-final-course-review/18.06_L34.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.06S05_MP4/34_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1299892995.01299892999.1335436340?i=1106666709>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1806s05_linear_algebra/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/RWvi4Vx4CDc>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br>
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-34-final-course-review
Strang, Gilbert2010-09-10T10:23:13+05:00en-USMIT OpenCourseWare http://ocw.mit.eduContent within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm