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###### Problem 3_(40 points) The matrix13 ~14 12 17 ~24 25 ~14 16has two distinct eigenvalues with A, < AzThe smaller eigenvalue A,has multiplicityand the dimension of the corresponding eigenspaceThe larger eigenvalue Azhas multiplicityand the dimension of the corresponding eigenspace isIs the matrix C diagonalizable? chooseNote. You can earn partial credit on Inis problem_

Problem 3_ (40 points) The matrix 13 ~14 12 17 ~24 25 ~14 16 has two distinct eigenvalues with A, < Az The smaller eigenvalue A, has multiplicity and the dimension of the corresponding eigenspace The larger eigenvalue Az has multiplicity and the dimension of the corresponding eigenspace is Is the matrix C diagonalizable? choose Note. You can earn partial credit on Inis problem_

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