The Orthogonal Decomposition Theorem
Channel: Andrew Misseldine
Date: 2020-11-07

In this video, we present, with proof, the Orthogonal Decomposition Theorem of vectors. We demonstrate it by computing the orthogonal decomposition of a vector in R^3.

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:
https://drive.google.com/open?id=1KQ7dbLXI4x39VwZovTL0DKRsZwt_i3Vt&authuser=andrewmisseldine@suu.edu&usp=drive_fs

This lecture covers section 4.5 - Orthogonal Projections from the book. This is part 3 of 4 videos from this section.