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Let A be a 2 xx 2 matrix of the form A =...

Let A be a `2 xx 2` matrix of the form `A = [[a,b],[1,1]]`, where a, b are integers and `-50 le b le 50`. The number of such matrices A such that `A^(-1)`, the inverse of A, exists and `A^(-1)` contains only integer entries is

A

101

B

200

C

202

D

`101^2`

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Verified by Experts

The correct Answer is:
C
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