Verify Sylvester's determinant theorem, which states that det(Im + AB) = det(In + BA) for any m x n matrix A and n x m matrix B. 7 2 5 0 A = O 6 -9 1 2 -1 -4 0 -3 2 6 B = 1 4 42 -8 3 0 5 det(Im + AB) = det(In + BA) = eBook