(a) Prove that every square matrix can be expressed as the sum, A = S + J,...

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(a) Prove that every square matrix can be expressed as the sum, A = S + J, of a symmetric matrix S = ST and a skew-symmetric matrix J = -JT.
(b) Write
(a) Prove that every square matrix can be expressed as

as the sum of symmetric and skew-symmetric matrices.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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