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4. (15 pts) Diagonalize the following matrix. Its characteristic polynomial is -() - 1)2(1 - 2). 4 2 0 1 0 2 2 You may

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4. (15 pts) Diagonalize the following matrix. Its characteristic polynomial is -() - 1)2(1 - 2). 4 2 0 1 0 2 2 You may want to use some of the following matrices and their RREF's. Not all of them are useful. 2 0 -2 0 0 4 0 4 2 O 4 1 RREF N RREF 0 0 0 RREF O 0 1 0 0 1 0 0 0 0 0 2 0 O 0 2 2 0 0 2

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