Suppose is a general quadratic form on ?. . whose coefficient matrix A is not necessarily symmetric.

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Suppose
Suppose
is a general quadratic form on ?. . whose coefficient

is a general quadratic form on ?. . whose coefficient matrix A is not necessarily symmetric. Prove that r/(x) = xTKx. where K = 1/2 (A + AT) lisa symmetric matrix. Therefore, we do not lose any generality by restricting our discussion to quadratic forms that are constructed from symmetric matrices.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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