Determine if each statement is true or false. In either case, state your reasoning. a) Let V and W be vector spaces and B, I' be bases for V and W. If f : B -> I is a bijection, then the linear extension of f is an isomorphism T : V - W. b) The rational numbers, Q, form a subspace of the real numbers under the standard operations. c) Any real number forms a basis for R. d) Let T : V -> W be a linear transformation that is injective but not onto, then for any matrix A representing T, Dim(Col(A)) # Dim(Row(A)) e) Let V and W be vector spaces, and let U C V and E C W be subspaces such that Dim(U) = Dim(E). If T : V -> W is an isomorphism, then T(U) = E