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If the matrix A=[[2,0,2] , [0,2,0] , [2,...

If the matrix `A=[[2,0,2] , [0,2,0] , [2,0,02]]` then `A^n=[[a,0,0] , [0,a,0] , [b,0,a]], n in N` where

A

a = 2n , `b = 2^(n)`

B

a = `2^(n),` b = 2n

C

`a = 2^(n) , b = n2^(n - 1)`

D

`a = 2^(n), b = 2n^(n)`

Text Solution

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The correct Answer is:
D
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