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If {:[(alpha,beta),(gamma,-alpha)]:} is ...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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