Show how to classify a quadratic form Q(x) = x T Ax, when and det A

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Show how to classify a quadratic form Q(x) = x^TAx, when and det A ≠ 0, without finding the eigenvalues of A.

Verify the following statements:

a. Qis positive definite if det A > 0 and a > 0.

b. Q is negative definite if det A > 0 and a

c. Q is indefinite if det A

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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 08:57 AM

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Show how to classify a quadratic form Q(x) = x T Ax, when and det A

Question:

A = || a b b d

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ANSWER To classify a quadratic form Qx xTAx without finding the eigenvalues of A we can analyze the signs of the elements of A and the determinant of ...View the full answer

Linear Algebra And Its Applications

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