i have a question about subspaces, is the following subset (lets call it W)
a subspace of (let's call it V)
and V is a two by two matix
hope someone understands
To prove that a subset W is a subspace you need to show:
and
For any scalar
W is non-empty.
For the first statement, assume that and and show that . Use a similar technique for the second statement. You could also do these two in a single step if you follow Isomorphism's method. For the last statement, you simply need to find a 2 by 2 matrix that satisfies .