Show that if AT = - A is any skew-symmetric matrix, then its Cayley Transform Q =

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Show that if AT = - A is any skew-symmetric matrix, then its Cayley Transform
Q = (I - A)-1 (I + A)
is an orthogonal matrix. Can you prove that I - A is always invertible?

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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 08:49 AM

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Show that if AT = - A is any skew-symmetric matrix, then its Cayley Transform Q =

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Applied Linear Algebra

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