Looks good.
This subspace consists of all vectors of the form ,
so the vectors and span the subspace. Since they are obviously linearly independent, they form a basis for the subspace.
So I just wanted to make sure I'm correct in my thinking for this problem.
I'm trying to find a basis for the subspace W = { x in }
With this, we know x = -y /2 so therefore, a basis to the subspace =
is my work correct?