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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=n2^(n)`

Text Solution

Verified by Experts

The correct Answer is:
D
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