If \( P=\left[\begin{array}{cc}\cos (\pi / 6) & \sin (\pi / 6) \\ -...

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If \( P=\left[\begin{array}{cc}\cos (\pi / 6) & \sin (\pi / 6) \\ -\sin (\pi / 6) & \cos (\pi / 6)\end{array}\right], A=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right] \) and \( Q \)
\( \mathrm{P} \)
W
\( =P A P^{\prime} \) then \( P^{\prime} Q^{2007} P \) is equal to
(A) \( \left[\begin{array}{cc}1 & 2007 \\ 0 & 1\end{array}\right] \)
(B) \( \left[\begin{array}{ll}1 & \sqrt{3} / 2 \\ 0 & 2007\end{array}\right] \)
(C) \( \left[\begin{array}{cc}\sqrt{3} / 2 & 2007 \\ 0 & 1\end{array}\right] \)
(D) \( \left[\begin{array}{cc}\sqrt{3} / 2 & -1 / 2 \\ 1 & 2007\end{array}\right] \)
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