Determining the Geometric Transformations of a 2 x 2 Matrix

In this video, we discuss how factor a 2 x 2 matrix into elementary and use them to determine how multiplication by the matrix affects the plane.

Linear Algebra Done Openly is an open source linear algebra textbook developed by Dr. Andrew Misseldine. It is supported and improved by student contributions done by Math 2700 students at Southern Utah University, since Fall 2018. The textbook can be found at:

This lecture covers section 3.6 - Matrix Factorizations from the book. This is part 4 of 5 videos from this section.