Question: Please help Find 2 x 2 matrices A and B so that A and B are both diagonalizable, but so that the matrix AB is

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Find 2 x 2 matrices A and B so that A and B are both diagonalizable, but so that the matrix AB is not diagonalizable. (Justify your answer by explaining why A and B are diagonalizable, and why AB is not.)

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