Basic & Free Variables

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?"

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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!

[michaelburke]

omg Claire thank you -- you are sent from heaven. my lecturer never took the time to explain these variables and I understood right away with your content. your content here is on par with Sal Khan, the pace is great along with the clarity and presentation.

[davida]

Helpful. This is definitely going in my playlist.

[Epicturtle]

Quite fascinating, thanks for the breakdown. Great examples!

[busrraengin]

Thank you for the video; it was super helpful!

[SatyamJha-ruoe]

Your video is very important for me and thanks you so much 🙏

[RAJESHMANDAL-uwze]

Thanks mam u r really nice in teaching

[nikieee]

Does the leading entry of the pivot beed to be 1? Or it could be any non zero number?