(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm unclear about this statement being wrong or not:

if C is an x-dimensional subspace of R^{n}, then a linearly independent set of x vectors in C is a basis for C

3. The attempt at a solution

I think that it must be a basis since it has independent vectors and it is in x dimensions, so there are x vectors in it. What I'm not so sure about is whether or not if it spans the subspace, but I think it does since all the vectors are independent, so there are x of them, so it should span in x dimensions.

I also want to thank HallsofIvy for lots of help with me with the questions 2 days ago.

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# Homework Help: Linear Algebra and Matrices, Subspaces, basis

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