4. True or false For each part, determine if you believe the statement is true or false, and justify your answers as appropriate. (a) Let k≥ 1 be an integer. If A is an eigenvalue of a square matrix A, then X is an eigenvalue of Ak. (b) Let A be an n x n matrix A. If A is invertible, then it is diagonalizable. (c) Let A be an n x n matrix A. If A is diagonalizable, then it is invertible.

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