If A = (aj) = Cmxn. Show that m n tr(A" A) = ΣΣ|a|2 i=1 j=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 54E
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If A = (aj) = Cmxn. Show that
m n
tr(AHA) = ΣΣ|a;j; 1²
i=1 j=1
Transcribed Image Text:If A = (aj) = Cmxn. Show that m n tr(AHA) = ΣΣ|a;j; 1² i=1 j=1
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