18.06 | Spring 2010 | Undergraduate

Linear Algebra

Video Lectures

Lecture 5: Transposes, permutations, spaces R^n

To account for row exchanges in Gaussian elimination, we include a permutation matrix P in the factorization PA = LU. Then we learn about vector spaces and subspaces; these are central to linear algebra.

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.

Strang, Gilbert. Introduction to Linear Algebra. 5th ed. Wellesley-Cambridge Press, 2016. ISBN: 9780980232776.

Instructor/speaker: Prof. Gilbert Strang

Course Info

Departments
As Taught In
Spring 2010
Learning Resource Types
Lecture Videos
Problem Sets with Solutions
Exams with Solutions
Instructor Insights