SOLVED: Which of the following are true for all n x n matrices A, B, and C? For each false statement, give an example of matrices A, B, and C which make the statement false.1. AB = BA2. det(AB) - det(BA)3. If det(A) is not equal to zero, then A is invertible.4. If A is diagonalizable, then it has n distinct real eigenvalues.5. If A is diagonalizable, then it has n linearly independent eigenvectors.6. If Ax = 0 has a unique solution, then A is invertible.7. If A is invertible, then all its eigenv
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