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.sharepo...
Playlist: • Linear Algebra (Full Course - Under Produc...