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If P=[[sqrt3/2,1/2] , [-1/2,sqrt3/2]] an...

If `P=[[sqrt3/2,1/2] , [-1/2,sqrt3/2]]` and `A=[[1,1] , [0,1]]` and `Q=PAP^T` and `x=P^TQ^(2005)P` then x is equal to

A

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

B

`[(4+2005sqrt(3),6015),(2005,4-2005sqrt(3))]`

C

`(1)/(4)[(2+sqrt(3),1),(-1,2-sqrt(3))]`

D

`(1)/(4)[(2005, 2-sqrt(3)),(2+sqrt(3), 2005)]`

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  16. Let P = [a(ij)] " be a " 3 xx 3 matrix and let Q = [b(ij)], " where " ...

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