If \[\omega \] is the cube root of unity, then what is one root of the equation \[\left| \begin{matrix} {{x}^{2}} & -2x & -2{{\omega }^{2}} \\ 2 & \omega & -\omega \\ 0 & \omega & 1 \\ \end{matrix} \right|=0?\]

If \[\omega \] is the cube root of unity, then what is one root of the

1.	If \[\omega \] is the cube root of unity, then what is one root of the equation \[\left\| \begin{matrix} {{x}^{2}} & -2x & -2{{\omega }^{2}} \\ 2 & \omega & -\omega \\ 0 & \omega & 1 \\ \end{matrix} \right\|=0?\]
A.	\[1\]
B.	\[-2\]
C.	\[2\]
D.	\[\omega \]
Answer» C. \[2\]

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If \[\omega \] is the cube root of unity, then what is one root of the equation \[\left| \begin{matrix} {{x}^{2}} & -2x & -2{{\omega }^{2}} \\ 2 & \omega & -\omega \\ 0 & \omega & 1 \\ \end{matrix} \right|=0?\]

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