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Mathematics
Mathematics
Problem
If
ω
\omega
ω
is the cube root of unity, then
∣
1
ω
ω
2
ω
ω
2
1
ω
2
1
ω
∣
=
\begin{vmatrix} 1 & \omega & \omega^2 \\ \omega & \omega^2 & 1 \\ \omega^2 & 1 & \omega \end{vmatrix} =
1
ω
ω
2
ω
ω
2
1
ω
2
1
ω
=
(a) 1 (b) 0 (c)
ω
\omega
ω
(d)
ω
2
\omega^2
ω
2
(a) 1 (b) 0 (c)
ω
\omega
ω
(d)
ω
2
\omega^2
ω
2
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