Linear Algebra 1.1 Introduction to Systems of Linear Equations

In this introductory video, we discuss strategies for solving systems of equations, including substitution, elimination, graphing, and row operations.

Video Chapters:
0:00 Introduction
0:09 Linear Equations in n Variables
1:26 Solutions and Solution Sets (Parametric Solution Introduced)
5:05 Practice: Solution Set
8:33 Systems of Linear Equations
11:28 Solving a System of Linear Equations using Back Substitution
15:07 Practice: Solving a System Using Back Substitution
16:49 Row Echelon Form
20:14 Row Operations
25:20 Using Gaussian Elimination to Rewrite in REF (One Solution)
34:04 Using Gaussian Elimination to Rewrite in REF (Many Solutions)
39:44 Using Gaussian Elimination to Rewrite in REF (No Solution)
44:52 Up Next

Solving a System Using Graphing: https://youtu.be/kpCq3-8SoiI
Solving a System Using Substitution: https://youtu.be/4a027GS7xCk
Solving a System Using Elimination https://youtu.be/Kb3QxVTUqsI
Solving a System of Linear Equations: https://youtu.be/x5VFUtbeRBw

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