Let A = 1/V2 1/V2 1/V2 -1/V2 1/V2 -1/V2 , B = 1/V2 1/V2 In this question, you may use the fact that C = {I, A, B, AB } is a basis for M2 (R). (a) By finding the entries of B2 and BA explicitly, find the coordinate vectors [B2]c and [BA]c. (b) Without finding the entries of B' A, use your answers to part (a) to find [B2 A]c. (Hint: Express B2 as a linear combination of I, A, B, AB, and then multiply that linear combination on the right by A.)