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Let A P 19 4 8 2 3 1 3 2 3 25 4 8...

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Algebra

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Let A P 19 4 8 2 3 1 3 2 3 25 4 8 4 Find an orthogonal matrix P with rational entries and a diagonal matrix D such that D PT AP 19 sqrt 5 2 sqrt 5 4 sqrt 5 2 sqrt 5 sqrt 5 3 D 9 0 27 0 27

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