The trace of an n n matrix A denoted tr(A) is the sum of its diagonal entries that is tr(A) 11 22 (nn) Show that (a) tr (AB) tr(BA) (b) If A is similar to B, then tr(A) tr(B) ...

a Let C AB and E BA The diagonal entries of C ...

The trace of an n n matrix A. denoted tr(A). is the sum of its diagonal

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The trace of an n × n matrix A. denoted tr(A). is the sum of its diagonal entries: that is.
tr(A) = α11 + α22 +......+(αnn)
Show that
(a) tr (AB) = tr(BA)
(b) If A is similar to B, then tr(A) = tr(B).

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 12:54 AM

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The trace of an n n matrix A. denoted tr(A). is the sum of its diagonal

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Linear Algebra with Applications

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