A square matrix A is called symmetric if = AT and skew-symmetric if AT = - A.

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A square matrix A is called symmetric if = AT and skew-symmetric if AT = - A. Show that if B is a square matrix, then
(a) BBT and B + BT are symmetric
(b) B - BT is skew-symmetric

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Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

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Question Posted: Jun 17, 2016 07:56 AM

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A square matrix A is called symmetric if = AT and skew-symmetric if AT = - A.

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a If A BB T then A T BB T T B T T B T BB T A Thus A is symmet...View the full answer

Elementary Linear Algebra with Applications

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