Explain what can be said about det A if: (a) A2 = I (b) PA = P

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Explain what can be said about det A if:
(a) A2 = I
(b) PA = P and P is invertible
(c) A = -AT and A is n × n

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:32 AM

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Explain what can be said about det A if: (a) A2 = I (b) PA = P

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Step by Step Answer:

a If A 2 I then detA 2 det I 1 that is detA 2 1 Hence detA 1 or detA 1 b If PA P P invertib...View the full answer

Linear Algebra With Applications

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