Linear Algebra 3.4 Applications of Determinants

We look at all of the different ways, some useful, some not, where matrices can be used to help us solve a problem.

Video Chapters:
0:00 Introduction
0:07 Cofactors and Adjoints
2:00 Find the Adjoint Matrix
3:46 Why the Adjoint?
4:55 Using Cramer’s Rule to Solve a System
8:17 Practice Cramer’s Rule (Using Desmos)
11:04 The Area of a Triangle
13:14 Practice Finding the Area of a Triangle – Collinear Points
14:39 Finding the Volume of a Tetrahedron
16:19 The Equation of a Line Passing Through Two Points
24:59 Find the Equation of a Plane Through Three Points
24:52 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