The Polar Decomposition: Prove that every invertible matrix A has a polar decomposition, written A = QB,

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The Polar Decomposition: Prove that every invertible matrix A has a polar decomposition, written A = QB, into the product of an orthogonal matrix Q and a positive definite matrix B > 0. Show that if det A > 0, then Q is a proper orthogonal matrix.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:08 AM

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The Polar Decomposition: Prove that every invertible matrix A has a polar decomposition, written A = QB,

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If A QB then K A T A B T Q T QB B 2 and hence B K ...View the full answer

Applied Linear Algebra

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