Question
If $\omega$ is an imaginary cube root of unity, then the value of $\begin{vmatrix} 1 & \omega^2 & 1 - \omega^3 \\ \omega & 1 & 1 + \omega^5 \\ 1 & \omega & \omega^2 \end{vmatrix}$ is ........
If $\omega$ is an imaginary cube root of unity, then the value of $\begin{vmatrix} 1 & \omega^2 & 1 - \omega^3 \\ \omega & 1 & 1 + \omega^5 \\ 1 & \omega & \omega^2 \end{vmatrix}$ is ........