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Find an orthogonal matrix p

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Reference no: EM131555786

Question: Let A be the matrix of the quadratic form

9x12 + 7x22 + 11x32 - 8x1x2 + 8x1x3

It can be shown that the eigenvalues of A are 3, 9, and 15. Find an orthogonal matrix P such that the change of variable x = Py transforms x TAx into a quadratic form with no cross product term. Give P and the new quadratic form.

Reference no: EM131555786

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