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Consider three matrices A=[(2,1),(4,1)],...

Consider three matrices `A=[(2,1),(4,1)], B=[(3,4),(2,3)] and C=[(3,-4),(-2,3)].` Then the value of the sum `tr(A)+tr((ABC)/2) +tr((A(BC)^2)/4)+tr((A(BC)^3)/8)+.......+oo` is (A) `6` (B) `9` (C) `12` (D) none of these

A

2

B

`(1)/(2) `

C

4

D

6

Text Solution

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The correct Answer is:
D
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