Linear Algebra 4.5 Basis and Dimension

Discover the basis of a vector space or the subspace of the vector space and how to calculate the dimension.

Video Chapters:
0:00 Introduction
0:07 Basis For a Vector Space
2:39 Determine if S is a Basis
3:52 Write As a Linear Combination
6:38 Use the Inverse
9:01 Bases and Linear Dependence
13:01 Some Common Standard Bases
14:22 The Dimension of a Vector Space
16:49 The Dimension of a Subspace – Example 1
18:55 The Dimension of a Subspace – Example 2
24:02 The Dimension of a Subspace – Example 3
26:35 Practice On Your Own
27:42 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