Week 1 | Lesson 1 | Linear Systems of Equations

0:00 Intro
0:13 What is Linear Algebra about?
1:53 Linear equations (definition)
6:54 A system of linear equations (definition)
10:23 What are we solving for?
11:10 What does it mean to solve a system? (2D)
11:43 One, none, or infinitely many solutions (2D)
13:55 What does it mean to solve a system? (3D)
16:47 Solution (definition)
17:41 Solution set (definition)
18:09 Example (of solutions and solution set)
20:46 Why are we studying linear systems of equations?
22:54 Consistent vs inconsistent systems (definition)
24:42 Example (solving a system using substitution)

[@TrueBalawan]

Great video but the symbol ∈ is definitly not an epsilon

[@dylanarcejaeger9138]

You are entirely correct! I definitely misspoke--that symbol actually doesn't even have a name, as far as I can find on the good ol' interwebs...!