Let A be an n x n real matrix with the property that AT = A, let

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Let A be an n x n real matrix with the property that AT = A, let x be any vector in Cn, and let q = xrAx. The equalities below show that q is a real number by verifying that q = q. Give a reason for each step.

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Linear Algebra and Its Applications

ISBN: 978-0321791542

4th edition

Authors: David C. Lay

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Question Posted: May 02, 2016 12:07 PM

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Let A be an n x n real matrix with the property that AT = A, let

Question:

7-' Ax = x' Ax = x'AX = (x" AX) = x Ax= q %3D %3D (c) (b) (e) (a) (d)

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a Properties of conjugates and the fact t...View the full answer

Linear Algebra and Its Applications

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