How do I solve these?

Question 4. ( 8 points) For each of the following statements determine whether it is true or false. Justify your answer. (a) det(I + A) = 1 + det(A), where A = [dijlnxn . (b) (A + B)2 = A2 + B2 + 2AB, where A = [aijlnxn and B = [bijlnxn . (c) Let T be a linear transformation with T(1, 0) = (1, -2) and T(0, 1) = (-1, 4), then T(-3, 1) = (-4, 10). (d) If A2 = O,where A = [aijlnyn , then A = 0