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Let A be 2 xx 2 matrix with real entries...

Let `A` be `2 xx 2` matrix with real entries such that `A'=alpha A+I` , where `alpha in RR-{-1,1}`. If `det(A^2-A)=4`, then the sum of all possible value of `alpha` is eqaul to

A

`5/2`

B

0

C

2

D

`3/2`

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