How to determine if one vector is a linear combination of a set of vectors

This tutorial goes over how to determine if one vector is a linear combination of a set of vectors. It is part of a full free course on linear algebra.

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Thanks for watching, I hope it helps!

[ChrisYoung-cvqn]

I have a question. From 5:26-5:30 how is it still a unique solution? Isn't there infinitely many solutions since there's a variable x3 and if we write it as a system of linear equations and since x3 is a free variable wouldn't that make it infinitely many solutions?

[Winchester_]

Hey if you get an inconsistent system, does that mean that the vector b ISN'T a linear combination of the matrix provided?

[wilbertcoandadiputra]

thanks for this video. really helpful !

[shivamsahu]

very-2 good lacture .I am feelling good after whatching this video

[ummidkwhattosayx]

What if the matrix is really big and hard to rref? Is there another way to see if it is a linear combination?

[firasrihan]

so if we have infinite number of solutions what should we write... should we continue or not?