Does a set of vectors span R^n?

This tutorial goes over the method on how to determine if a set of vectors span R^n. The example done in R^2 can be extrapolated to any dimension. It is part of a full free course on linear algebra.

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Thanks for watching, I hope it helps!

[natekaduk]

Wow, this I got to be the best math explanation video I have ever seen. Everyone else goes too slow, but you don't and I love that. I am definitely giving a like.

[alexcast]

I understood everything despite my first languaje isn't English. Thank you for doing these videos!

[singelica]

Amazing! Super straightforward explanation. Thank you sooo much. (The graphic explanation is also very helpful!)

[Name-tvbw]

I have my linear algebra final tomorrow--thank you so much for the helpful video!!!

[dishantmalik]

Thank you so much it helped me a lot 😍😍

[khaliunbattogtokh]

Hi. Thank you for your helpful video. In order for vectors be span R^3, do I have to have 3 pivots? If so, why?

[jochemdejong]

So I have a question for an assignment in which I got a matrix with a variable alpha and that equals a certain given vector and now the exercise is to determine the value of alpha such that the matrix vectors span r3, how would I do this?

[yasserothman]

what is the system of equations has either infinite number of solution or no solution at all ?

[alphahunterd]

How do you do this if you're only given one vector?

[danseechannel]

Is there another method that we can use without using elementary row operations to get the matrix to reduced row echelon form? If I have a list of vectors that exist in R5 for example, I'd like to be able to determine relatively quickly and easily (and intuitively) whether or not my list of vectors spans R5.

[HazzCraft]

my tutor took 56 minutes to poorly explain what you just did in 10.

[williamtran]

One happens if one row is all zero in rref

[rymichael]

You, like other people, do no favours to anyone searching out R^n examples. If you're going to just do R^2 examples just put that. Everyone who explains this is always the same... examples for the lowest common denominator.