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7. If A is a 3 x 3 matrix such that det(A) = 2, find det(5AA"). (A) 5 (B) 1000 (C) 100 (D) 20 (E) 500
8. Suppose that A and B are 3 x 3 matrices and that det(A) = }, det(B) = -1. Then det(-ABA adi(B)adi(A)) is (a) -27, (b) (c) -1, (d) 1 (e) None of the above.
4. Suppose that A and B are 4 x 4 matrices and that det(A) = det(B) = det(-ABAT(-3B2)(-A)-1) is . Then