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If \( \omega \) is the cube root of unity, then \( \left|\begin{array}{ccc}1 & \omega & \omega^{2} \\ \omega & \omega^{2} & 1 \\ \omega^{2} & 1 & \omega\end{array}\right|= \)
\( \mathrm{P} \)
VV
(1) 1
(2) 0
(3) \( \omega \)
(4) \( \omega^{2} \)
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