If \[\omega \] is the cube root of unity, then \[\left| \begin{matrix} 1 & \omega & {{\omega }^{2}} \\ \omega & {{\omega }^{2}} & 1 \\ {{\omega }^{2}} & 1 & \omega \\ \end{matrix} \right|\]= [RPET 1985, 93, 94; MP PET 1990, 2002; Karnataka CET 1992; 93, 02, 05]

If \[\omega \] is the cube root of unity, then \[\left| \begin{matrix}

1.	If \[\omega \] is the cube root of unity, then \[\left\| \begin{matrix} 1 & \omega & {{\omega }^{2}} \\ \omega & {{\omega }^{2}} & 1 \\ {{\omega }^{2}} & 1 & \omega \\ \end{matrix} \right\|\]= [RPET 1985, 93, 94; MP PET 1990, 2002; Karnataka CET 1992; 93, 02, 05]
A.	1
B.	0
C.	\[\omega \]
D.	\[{{\omega }^{2}}\]
Answer» C. \[\omega \]

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If \[\omega \] is the cube root of unity, then \[\left| \begin{matrix} 1 & \omega & {{\omega }^{2}} \\ \omega & {{\omega }^{2}} & 1 \\ {{\omega }^{2}} & 1 & \omega \\ \end{matrix} \right|\]= [RPET 1985, 93, 94; MP PET 1990, 2002; Karnataka CET 1992; 93, 02, 05]

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