The Gram-Schmidt Algorithm
Channel: Andrew Misseldine
Date: 2020-10-15

In this video, we present the Gram-Schmidt Algorithm for computing an orthogonal (or orthonormal) basis of a vector space from one of its spanning sets. An example is presented over a real vector space.

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 4.7 - The Gram-Schmidt Process from the book. This is part 1 of 3 videos from this section.