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

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