If A=[(costheta, -sin theta ),(sin theta...

If `A=[(costheta, -sin theta ),(sin theta, cos theta) ]` , then the matrix `A^(-50)` when `theta=pi/12`, is equal to :

A

`[(1/2,sqrt3,2),(-sqrt3/2, 1/2)]`

B

`[(sqrt3/2, -1/2),(1/2,sqrt3/2)]`

C

`[(sqrt3/2,1/2),(-1/2, sqrt3/2)]`

D

`[(1/2, -sqrt3/2),(sqrt3/2,1/2)]`

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The correct Answer is:

C

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