Mark the tick against the correct answer in the following:

Question:

Mark the tick against the correct answer in the following:

If $\omega$ is a complex root of unity then $\left|\begin{array}{ccc}1 & \omega & \omega^{2} \\ \omega & \omega^{2} & 1 \\ \omega^{2} & 1 & \omega\end{array}\right|=?$

A. 1

B. $-1$

C. 0

D. none of these

Solution:

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