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If A=[[alpha ,beta],[ gamma , -alpha]]...

If `A=[[alpha ,beta],[ gamma , -alpha]]` is such that `A^2=I`, then A) `1+alpha^2+beta gamma=0` B) `1-alpha^2+beta gamma=0` C)`1-alpha^2-beta gamma=0^`D)`1+alpha^2-beta gamma=0`

A

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

B

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

C

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

D

`1 - alpha - beta - beta lambda = 0`

Text Solution

Verified by Experts

The correct Answer is:
B
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