Question: In Exercises 1-3, A and B are n X n matrices. 1. Prove that det(AB) = det(BA). 2. If B is invertible, prove that det(B-1AB)

In Exercises 1-3, A and B are n X n matrices.
1. Prove that det(AB) = det(BA).
2. If B is invertible, prove that det(B-1AB) = det(A).
3. If A is idempotent (that is, A2 = A), find all possible values of det(A).

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