Question: Let A = -19 6 8 00 = 4 -25 8 4 2/3 4. Find an orthogonal matrix P with rational entries and a

Let A = -19 6 8 00 = 4 -25 8 4

Let A = -19 6 8 00 = 4 -25 8 4 2/3 4. Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D = PTAP. -19 -(sqrt(5))/(! (-4*sqrt(5)) -9 0 0 P= 1/3 (2*sqrt(5))/ (-2*sqrt(5)) D= 0 -27 0 2/3 (sqrt(5))/3 0 -27

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