Prove that if A and B are n n matrices, then (a) tr(KA) = k tr(A)

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Prove that if A and B are n × n matrices, then
(a) tr(KA) = k tr(A) + tr(B)
(b) tr(AB) = tr(BA)

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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 07:58 AM

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Prove that if A and B are n n matrices, then (a) tr(KA) = k tr(A)

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a Let the ij th entry of A be a ij Then tr A a 11 a 22 a nn so that t...View the full answer

Elementary Linear Algebra with Applications

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