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if A=[a(ij)](2*2) where a(ij)={i+j , i!=...

if `A=[a_(ij)]_(2*2)` where `a_(ij)={i+j , i!=j` and `i^2-2j ,i=j}` then `A^-1` is equal to

A

`(1)/(9)[(0, 3),(3,1)]`

B

`(1)/(9)[(0,-3),(3,-1)]`

C

`(1)/(9)[(0,-3),(-3,-1)]`

D

`(1)/(3)[(0,3),(3,1)]`

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The correct Answer is:
A
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