Let A be the matrix of the quadratic form It can be shown that the eigenvalues of

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Let A be the matrix of the quadratic form

It can be shown that the eigenvalues of A are 1, 7, and 13. Find an orthogonal matrix P such that the change of variable x = Py transforms x^TAx into a quadratic form with no cross product a term. Give P and the new quadratic form.

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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Question Posted: May 16, 2023 08:22 AM

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Let A be the matrix of the quadratic form It can be shown that the eigenvalues of

Question:

7x² + 5x2 + 9x38x1x2 + 8x1 x3

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The matrix of the quadratic form is A 4 4 is 2 which may be normalized to u 4 7 0 11 eigenvec...View the full answer

Linear Algebra And Its Applications

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