1. (5 points total, 1 point each) Suppose A, B, C are 4 x 4 matrices, with det(A) = 3, det(B) = -4, and det(C) = 12. Using properties of determinants, find each of the following. You don't need to cite each property you're using, but show work (i.e. don't just provide the final answer, show the computations you're doing to arrive at the answer). a. det(AB 1) b. det(A4) c. det(2ABC-1) d. det(BC) e. det(CC-1) a-1 0 2 2. (5 points) Let C = Find all values of a for which C is noninvertible (also 1 a+1 called singular). Show all work, and provide justification for your final