Question: True or False 1. Let A and B be 2 x 2 matrices. If A is not invertible, then AB is not invertible. 2. Let

True or False

1. Let A and B be 2 x 2 matrices. If A is not invertible, then AB is not invertible.

2. Let A be a 5 x 5 matrix. If the columns of A are linearly dependent, then the determinant of A is 0.

3. For any square matrix A, and for any positive integer k, we have det(Ak) = det(A)k.

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