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 Rn, 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.