Hi I'm new here and I have a bit of trouble understanding a problem that was given to us:

Let V and W be finite-dimensional vector spaces and let T:V->W be an isomorphism. Let Vo be a subspace of V. Prove that 1) T(Vo) is a subspace of W, and 2) dim (Vo)=dim(T(Vo))

I would appreciate any help. thank you