Determine Basic (Leading) Variables and Free Variables Given a Matrix in RREF

This video explains how to determine the basic and free variables by determining the pivots and pivot columns of an augmented matrix is RREF.

[xyu]

im not joking when i tell you i watched 20+ videos and never understood what a free variable was, you explained this so simply and it was so helpful. THANK YOU

[HarshithramSundararaman]

that was the most concise explanation I have found, thank you!

[withsamm]

this was magically helpful! understood this way much better than class. thank you

[ghostkiller]

better teaching than most highly paid professors

[buzzbuzzxx]

Simple, Clear and Straight to the point !!!

[AkashRoy-dodg]

in 2 minutes that was elegant man! thank you very much

[ttranpham]

this is magic I love this so much!!! it took me two minutes to understand what my prof taught for 30 mins

[jeffreyumeh]

Thank you. This is brief and extremely helpful

[JesusMartinez-zuxl]

thank you! currently taking matrix theory and sort of struggled what a free variable was. Thank you!

[MG-fczg]

Nice short video and beatifully explained. Thanks for this and good work

[farahalyahya]

Thank you! easy to follow and straight to the point

[hakankilic]

thank you very much I couldn't find turkish source and I found youu

[tb]

THANKYOU VERY MUCH, I AM SELF-LEARNING LINEAR ALGEBRA AND THE PROFESSOR IN THE VIDEO DOESN'T EXPLAIN WHATS LEADING VARIABLE AND NOR DOES HIS BOOK !! FR TYSM

[RyantheCanuckpirate]

Thank you. I didn't understand that columns where we had 0 counted as a free variable (because why worry about anything multiplied by 0?)

I thought it had to be like 2x1 + 3x2 - 1x4 = 4, and then x2 and x4 would be free. Didn't realize x3 would also be considered free

[zwakabarakat]

Yes, yes I did find it helpful, thank you.

[DaPookieGreenz]

I don’t need any of this because I’m 12 but I will still learn it!