Let A = P = 16 8 -11 8 Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D = PT AP. 8 -23 -1/(3sqrt(2 2/3 -27 -1/(3sqrt(2 2/3 D= 0 -27 HOUS -11 16 8 -1/sqrt(2) 1/sqrt(2) #

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