3. Suppose you are given the matrices A, B, C, and D below. 4 -2 10 3 1 3 -. -3 -2 -1 C = D = 1 A = B = 1 -4 -2 1 1 5 -7 3 6 -5 -3 2 -5 (a) Is it possible to compute A +C? If it is, find A+C. If not, why not? (b) Is it possible to compute D – A? If it is, find D – A. If not, why not? (c) Is it possible to compute A· C? If it is, find the dimensions of A · C. If not, why not? (d) Is it possible to compute A · B? If it is, find the dimensions of A · B. If not, why not?

8-2 Find A(BC) given that A= 0 -7.B= 6 -9 - 1 and C= 3 - 1 -3 3 If an operation is not defined, state the reason. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. A(BC) = (Simplify your answers.) B. This matrix operation is not possible because product BC is not defined. OC. This matrix operation is not possible because the product of A and BC is not defined.

Given the matrices A= 1 −4 −1       4 3 −1      4 −4 −2 and B= −5                0                3 B. If multiplication is possible what is AB?