jf A = [aii] is an II x II matrix, then the Irace of A. Tr(A). is defined as the sum of
Chapter 1, Problem 43(choose chapter or problem)
jf A = [aii] is an II x II matrix, then the Irace of A. Tr(A). is defined as the sum of all elements on the main . diagolwl of A. Tr(A) = LUil Show each of the follow- ;=1 mg: (a) Tr(cA) = c Tr(A). where c is a real number (b) Tr(A + B ) = Tr(A) + Tr( B ) (e) Tr(AB) = Tr(BA) (d) Tr(AT) = Tr(A) (e) Tr(AT A) 2:
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