Mark the tick against the correct answer in the following:

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