Create two random 7 × 7 integer matrices A and B. Check whether any of the following identities hold or not: 1. det(AB) = det(A) det(B)
det(A + B) = det(A) + det(B) 3. det(A−1)=1/det(A)
det ([ A 0 ]) = det(A) det(B)(the 0 denote 7 × 7 zero matrices) 0B