(a) Prove that every 3 3 proper orthogonal matrix has +1 as an eigenvalue. (b) True...

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(a) Prove that every 3 × 3 proper orthogonal matrix has +1 as an eigenvalue.
(b) True or false: An improper 3 × 3 orthogonal matrix has -1 as an eigenvalue.

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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 09:06 AM

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(a) Prove that every 3 3 proper orthogonal matrix has +1 as an eigenvalue. (b) True...

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a According to Exercise 8236 a 3 3 orthogonal matrix has at least one rea...View the full answer

Applied Linear Algebra

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