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Let \omega be a complex number such that 2\omega + 1 = z where z = √-3. If \beginvmatrix 1 & 1 & 1 \\ 1 & -\omega^2-1 & \omega^2 \\ 1 & \omega^2 & \omega^7 \endvmatrix = 3k, then k is equal to : | Watch the step-by-step video solution for this NIMCET PYQ.