Access the PDF notes from this video: https://www.dropbox.com/s/ev7axhkxh3o...

This video describes how to identify basic and free variables in a system of equations represented by (augmented) matrices. This will help you answer questions related to "How many free variables and basic variables does a matrix have?"

Check out the other videos in this Linear Algebra module:    • Pivots & Linear Independence/Dependen...  

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0:00 Intro: what we are going to do
0:58 Definition of Basic (Bounded) Variables
1:54 Definition of Free Variables
2:53 Some notes before the examples
3:43 Example 1
5:43 Example 2
7:03 Example 3
8:53 Example 4
11:00 Thanks for watching!