Matrix Representations of a Linear Transformation for any Basis

In this video, we discuss how to represent any linear transformation as a matrix relative to any basis.

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 6.5 - Orthogonal Diagonalization from the book. This is part 2 of 2 videos from this section.