The Geometry of Linear Equations
Session Overview
![]() | A major application of linear algebra is to solving systems of linear equations. This lecture presents three ways of thinking about these systems. The "row method" focuses on the individual equations, the "column method" focuses on combining the columns, and the "matrix method" is an even more compact and powerful way of describing systems of linear equations. Portion of Fig. 2.2 from the textbook Introduction to Linear Algebra. |
Session Activities
Lecture Video and Summary
- Watch the video lecture The Geometry of Linear Equations (00:39:49)
- Read the accompanying lecture summary (PDF)
- Lecture video transcript (PDF)
Suggested Reading
- Read Section 1.1, 1.2, and 2.1 in the textbook.
Problem Solving Video
- Watch the recitation video on Geometry of Linear Algebra (00:16:35)
- Recitation video transcript (PDF)
Check Yourself
Problems and Solutions
Work the problems on your own and check your answers when you're done.






