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If A = [(costheta,-sintheta),(sintheta,c...

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

A

`[(sqrt(3)/(2),(1)/(2)),(-(1)/(2),sqrt(3)/(2))]`

B

`[((1)/(2),sqrt(3)/(2)),(-sqrt(3)/(2),(1)/(2))]`

C

`[((1)/(2),-sqrt(3)/(2)),(sqrt(3)/(2),(1)/(2))]`

D

`[(sqrt(3)/(2),-(1)/(2)),((1)/(2),sqrt(3)/(2))]`

Text Solution

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The correct Answer is:
A
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