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If A=[(alpha,beta),(gamma,-alpha)] is su...

If `A=[(alpha,beta),(gamma,-alpha)]` is such that `A^(2)=I`, then

a. 1 + `alpha^(2) + β γ = 0`
b. 1 − `alpha^(2) + β γ = 0`
c. 1 − `alpha^(2) − β γ = 0`
d. 1 + `alpha^(2) − β γ = 0`

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`

Text Solution

Verified by Experts

The correct Answer is:
C
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