If \[\omega \] is a cube root of unity and \[\Delta =\left| \begin{matrix} 1 & 2\omega \\ \omega & {{\omega }^{2}} \\ \end{matrix} \right|\], then \[{{\Delta }^{2}}\]is equal to [RPET 1984]

If \[\omega \] is a cube root of unity and \[\Delta =\left| \begin{mat

1.	If \[\omega \] is a cube root of unity and \[\Delta =\left\| \begin{matrix} 1 & 2\omega \\ \omega & {{\omega }^{2}} \\ \end{matrix} \right\|\], then \[{{\Delta }^{2}}\]is equal to [RPET 1984]
A.	\[-\omega \]
B.	\[\omega \]
C.	1
D.	\[{{\omega }^{2}}\]
Answer» C. 1

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If \[\omega \] is a cube root of unity and \[\Delta =\left| \begin{matrix} 1 & 2\omega \\ \omega & {{\omega }^{2}} \\ \end{matrix} \right|\], then \[{{\Delta }^{2}}\]is equal to [RPET 1984]

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