[Linear Algebra] Solution Sets for Systems of Equations

We learn how to find a solution set for a system of equations.

#LinearAlgebra #Algebra #UniversityMath #Lecture

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We look at writing solution sets for systems of equations. We also look at free variables and basic variables.

Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

[EclecticVibe]

It's not always true that any variable can be taken as the basic and free variables, as you said. Variables corresponding to pivot columns should be taken as basic variables, and the other variables are taken as free variables.

[joudrodiak]

I am currently binging a whole course in 6h at 1AM thanks to you legit respect

[BudskiiHD]

thank you!! your videos deserve so many more views

[tumikabi]

Sorry by 9:03 why is it -3x3? shouldn't it be a +3x3?

[GidZk]

Hello, I don't really get why x3 should be free, I do see that it's not a pivot column and therefore free, but what is the logic behind that?

Is it that both x1 and x2 is dependent on x3 that is telling us that it should be free? Would be nice with a small explanation.

Thanks for your videos btw! Cheers!

[Dontworryboutit]

This math is so freakin tedious omg /.-

[maxaxelatractivo]

Ephesians 2:8-9
(8) For by grace that we are saved through Faith and that not of yourselves, it is a gift from GOD, (9) not by works that no one may boast.

This Bible verse only tells us that to be able to rest in CHRIST JESUS for eternity, one must put his/her faith in HIM, I know not who need this but I would leave it here