a) Let A and B be 5 times 5 matrices, det(A) = 3 and det(B) = 2. Find det(4A^T B^-1). b) Let A = [a b c d e f g h i], If det(A) = 3, find the determinant of B = [3a 3b 3c g h i 5d - g 5e - h 5f - i]. c) Let A be a n times n matrix. If the inverse of A is A then find all possible values for det(A). d) Let B be an invertible 4 times 4 matrix which det(B) = 3. Find det(cof(B)).