a. Let T : P2 ( R) - M2x2 ( R) be the linear transformation given by T(f(x)) [ f(4) - f(3) 0 0 f (0) Find bases for the null space N (T ) and range R(T) and verify the dimension theorem. b. Let W1 and W2 be subspaces of a vector space V, and dim(W1 ) = n, dim(W2 ) = m, where n > m. Prove that dim(Wi () W2)