(a) Prove that if K is a positive definite matrix, then K2 is also positive definite. (b)...

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(a) Prove that if K is a positive definite matrix, then K2 is also positive definite.
(b) More generally, prove that if S = ST is symmetric and nonsingular, then S2 is positive definite.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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