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(6 points) Diagonalize the following symmetric matrix into QAQ , where Q is an or- thogonal matrix. 3 2 4 , with eigenvalues ) =

(6 points) Diagonalize the following symmetric matrix into QAQ , where Q is an or- thogonal matrix. 3 2 4 , with eigenvalues ) = 7, -2. A = 2 4 2

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