Precalculus 7.3 Multi-Variable Linear Systems of Equations
In this video, we focus on three-variable linear systems of equations and the possible outcomes of zero, one, or an infinite number of solutions. This is a longer video as the mathematics is more involved than using substitution and elimination with two-variable systems.
Video Chapters:
0:00 Intro
0:09 What is Row Echelon Form
2:23 Solving a 3-Variable System
3:54 Practice Solving a 3-Variable System
5:21 Row Operations
11:03 Using Gaussian Elimination to Rewrite in REF - One Solution
20:37 Solutions to 3-Variable Systems (Desmos 3D)
25:10 Using Gaussian Elimination to Rewrite in REF - Infinite Solutions
31:02 Using Gaussian Elimination to Rewrite in REF - No Solution
36:34 Non-Square Systems
40:27 Up Next
Playlist Text: Precalculus, 11e, Ron Larson
Playlist: • Precalculus Playlist (Full Course in ...
