Linear Algebra 4.7 Coordinates and Change of Basis

Develop an understanding of coordinates on a nonstandard basis, then learn how to write those coordinates using a new basis.

Video Chapters:
0:00 Introduction
0:07 Coordinate Representation
2:45 Coordinate Representation Examples
9:51 Find Coordinate Matrix Relative to Nonstandard Basis
13:17 Find Coordinate Matrix Relative to Standard Basis
15:49 Change of Basis
17:54 Understanding the Transition Matrix
19:43 Find the Transition Matrix and Use it to Rewrite x
23:23 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