Linear Algebra 5.3 Orthonormal Bases: Gram-Schmidt Process

In this video we discuss bases that are orthogonal and orthonormal. We then learn how to construct an orthonormal basis using the Gram-Schmidt Process.

Video Chapters:
0:00 Introduction
0:08 Orthogonal and Orthonormal Sets
3:23 Orthonormal Basis
5:19 Orthonormal Basis for P3
7:08 Theorems about Orthogonal and Orthonormal Bases
8:50 Representing Vectors Relative to Orthonormal Basis
11:03 Gram-Schmidt Orthonormalization Process
13:09 Applying the Gram-Schmidt Orthonormalization Process
18:06 Applying the Gram-Schmidt Orthonormalization Process – Alternative
19:38 Practice Applying the GSOP
25:07 Up Next

Textbook: Elementary Linear Algebra 8e, Ron Larson

Slide Decks: https://bellevueuniversity-my.sharepoint.com/:f:/g/personal/kbrehm_bellevue_edu/IgDVnTt2BohsRLsMfseN5FijAXYDd49YlIkHeq5cfmCxG2g?e=ZwTt3c

Playlist: https://youtube.com/playlist?list=PLl-gb0E4MII1RjTV2GegmXFTJwTrek8OI&si=g3Xc3yHB5GkmxMF4