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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+betagamma = 0`

B

`1+alpha^2+betagamma = 0`

C

`1-alpha^2-betagamma = 0`

D

`1+alpha^2-betagamma = 0`

Text Solution

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MODERN PUBLICATION-MATRICES-EXERCISE
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  15. If for a square matrix A,AB=BA = I, then inverse of B is

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