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1 5. (8+12 pts.). Let _1 = 1 1 1 1 -1 1 1 1 (a) Find the characteristic polynomial and the eigenvalues of

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1 5. (8+12 pts.). Let _1 = 1 1 1 1 -1 1 1 1 (a) Find the characteristic polynomial and the eigenvalues of the matrix A. (b) Explain why the matrix A is diagonalizable and then diagonalize the matrix .

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