Prove that any quadratic form can be written as where A, are the eigenvalues of A and

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Prove that any quadratic form can be written as
(Σ || > À, cos? 0; Ax = || x'

where A, are the eigenvalues of A and θi = Š€(x, vi) denotes the angle between x and the ith eigenvector.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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