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Diagonalize the following matrix: 1 2 2 A=|-3 -4 -3 2 2 1 The eigenvalues for this matrix are 1 and 0. While matrix inverses

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Diagonalize the following matrix: 1 2 2 A=|-3 -4 -3 2 2 1 The eigenvalues for this matrix are 1 and 0. While matrix inverses do come up in diagonalization, you do not have to explicitly find them (in the same way we approached these problems in class). Also, based on the eigenvalue information alone, is this matrix invertible or not? Explain why

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