If \[\omega (\ne 1)\] is a cube root of unity, then \[\left| \begin{matrix} 1 & 1+i+{{\omega }^{2}} & {{\omega }^{2}}\\ 1-i & -1 & {{\omega }^{2}}-1\\ -i & -i+\omega -1 & -1\\ \end{matrix} \right|\] is equal to [IIT 1995]

If \[\omega (\ne 1)\] is a cube root of unity, then \[\left| \begin{ma

1.	If \[\omega (\ne 1)\] is a cube root of unity, then \[\left\| \begin{matrix} 1 & 1+i+{{\omega }^{2}} & {{\omega }^{2}}\\ 1-i & -1 & {{\omega }^{2}}-1\\ -i & -i+\omega -1 & -1\\ \end{matrix} \right\|\] is equal to [IIT 1995]
A.	0
B.	1
C.	\[\omega \]
D.	\[i\]
Answer» B. 1