If P=[(cos(pi//6),sin(pi//6)),(-sin(pi//...

If `P=[(cos(pi//6),sin(pi//6)),(-sin(pi//6),cos(pi//6))],A=[(1,1),(0,1)]andQ=PAP'` then `P'Q^(2007)P` is equal to a)`[(1,2007),(0,1)]` b)`[(1,sqrt(3//2)),(0,2007)]` c)`[(sqrt(3//2),2007),(0,1)]` d)`[(sqrt(3//2),-1//2),(1,2007)]`

A

`[(1,2007),(0,1)]`

B

`[(1,sqrt(3//2)),(0,2007)]`

C

`[(sqrt(3//2),2007),(0,1)]`

D

`[(sqrt(3//2),-1//2),(1,2007)]`

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The correct Answer is:

A

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