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

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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