you can see that,
which means is a Basis of .
I do not understand how to solve this problem:
Let W = {(s+4t,t,s,2s-t)| s,t are elements are reals}. Where W is a subspace of R^4.
Find the basis for W.
I understand that a basis means that W spans R^4 and is linearly independent. But I fail to understand how to complete this problem. I think I am missing something small.
Any help would be appreciated.