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2016-11-03 03:36:08 +0200 asked a question Create random matrices in SageMath

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)

  1. det(A + B) = det(A) + det(B) 3. det(A−1)=1/det(A)

  2. det ([ A 0 ]) = det(A) det(B)(the 0 denote 7 × 7 zero matrices) 0B