Prove that every symmetric matrix S = K + N can be written as the sum of

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Prove that every symmetric matrix S = K + N can be written as the sum of a positive definite matrix K and a negative definite matrix N. Hint: Use Exercise 3.5.12(b)
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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