If A = [ajj] is an n à n matrix, then the trace of A, Tr(A), is
Question:
Show each of the following:
(a) Tr(cA) = c Tr(A), where c is a real number
(b) Tr(A + B) = Tr(A) + Tr(B)
(c) Tr(AB) = Tr(BA)
(d) Tr(AT) = Tr(A)
(e) Tr(ATA) ¥ 0
Transcribed Image Text:
Tr(A) Σαϊί
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Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0132296540
9th edition
Authors: Bernard Kolman, David Hill
Question Posted:
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