Summary of tensor product
I guess the following quesition on our problem set summarizes our study of linear algebra, up to tensor product.
(3) Suppose that V and W are finite-dimensional vector spaces. The set
Hom(V,W) = {T : V -> W : T is linear}
forms a vector space2. Construct an isomorphism between Hom(V,W) and V (tensorproduct) W.