Here's the problem:
For each k in {0, 1, 2, 3, 4} find a subspace of R^{4} of dimension k.
I don't know where to start with this, any help would be appreciated!!
Do you understand what a subspace is? If not, please read your text/consult your notes before even thinking about this question.
Otherwise, let be your basis vectors (standard or otherwise) for
What is the dimension of the subspace spanned by ?
What is the dimension of the subspace spanned by and ?
What about the subspaces spanned by or ?