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If `[(alpha, beta),(gamma,-alpha)]` is to be square root of the two rowed unit matrix, then `alpha, beta` and `gamma` satisfy the relation

A

`1+ alpha^2 + beta gamma = 0`

B

`1 + alpha^2 - beta gamma = 0` s

C

`1 - alpha^2 + beta gamma = 0`

D

`1-alpha^2 - beta gamma = 0`

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The correct Answer is:
D
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