In this question we prove a claim made in class. let u be a subspace of v for p e uo, we define tp e (v/u)' to be given by (tp)(v+u)= p(v). (a) show that this gives a well-defined function t : u° other words, show that whenever p e u° and v + u: p( 8 (v/u). in we have (b) show that t is a linear map (c) show that t is an isomorphism