The value of the determinant \( \displaystyle \left | \begin{matrix} 1 &\omega ^{3} &\omega ^{5} \\ \omega ^{3}&1 &\omega ^{4} \\ \omega ^{5}&\omega ^{4} &1 \end{matrix} \right | \) , where \( \omega \) is an imaginary cube root of unity, is-
A \( \displaystyle (1-\omega )^{2} \)
B 3
C -3
D none of these
Solution
Correct Answer: Option B