Mathematics

Mathematics

Problem

Let ω\omega be a complex number such that 2ω+1=z2\omega + 1 = z , when z=−3z = \sqrt{-3} if ∣1111−ω2−1ω21ω2ω7∣=3k\begin{vmatrix} 1 & 1 & 1 \\ 1 & -\omega^2 - 1 & \omega^2 \\ 1 & \omega^2 & \omega^7 \end{vmatrix} = 3k , then kk is equal to a. 1 b. −z-z c. zz d. −1-1

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