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Let A=7548, B=4375 and C=-537-4 . If Tr(S) denotes the trace of a square matrix S then k=013kTr{A(BC)k}=

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detailed solution

Correct option is A

A=7548,B=4375 and C=-537-4 BC=4375-537-4=1001=I (BC)k=I  k=013kTr{A(BC)k}=Tr(A)+13Tr(A)+132Tr(A)+..... k=013kTr{A(BC)k}=Tr(A)1+13+132+.....=(7+8)11-13=452 

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