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If P=[(sqrt(3)/2, 1/20,(-1/2,sqrt(3)/2)]...

If `P=[(sqrt(3)/2, 1/20,(-1/2,sqrt(3)/2)], A=[(1,1),(0,1)] and Q=PAP^T, then P^T Q^2005 P` is: (A) `[(1,2005),(0,1)]` (B) `[(1,2005),(2005,1)]` (C) `[(1,0),(2005,1)]` (D) `[(1,0),(0,1)]`

A

`[(1,2005),(0,1)]`

B

`[(sqrt3/2,2005),(1,0)]`

C

`[(1,2005),(sqrt3/2, 1)]`

D

`[(1,sqrt3/2),(0,2005)]`

Text Solution

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The correct Answer is:
A
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