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If the square of the matrix [(alpha,beta...

If the square of the matrix `[(alpha,beta),(gamma,-alpha)]` is the unit matrix of order 2, then `alpha, beta` and `gamma` should satisfy the relation.

A

`1+alpha^(2)+betagamma=0`

B

`1-alpha^(2)-betagamma=0`

C

`1-alpha^(2)+betagamma=0`

D

`1+alpha^(2)-betagamma=0`

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