Let B = {u1, u2} be the basis u1 = (3, 2), u2 = (1, 1) and B' = {v1, v2} be the basis v1 = (5, 2), v2 = (7, 3). Consider the vector w in the standard standard basis, w=(1,2). (a) Find (w ) B, the coordinates of w in the basis B. (b) Find (w) B', the coordinates of w in the basis B'. (c) Find the transition matrix P (sometimes written as PB-, B' ). (d) Compute P acting on (w ) B