Let =- 1 2 +i 3 2 . Then the value of | array ccc 1 & 1 & 1 1 & -1- ^ 2 & ^ 2 1 & ^ 2 & ^…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
Let \(\omega=-\frac{1}{2}+i \frac{\sqrt{3}}{2} .\) Then the value of \[\left|\begin{array}{ccc}
1 & 1 & 1 \\
1 & -1-\omega^{2} & \omega^{2} \\
1 & \omega^{2} & \omega^{4}
\end{array}\right|\]
- 3ω
- 3ω (ω – 1)
- 3ω2
- 3ω (1 – ω)
Answer
(D) 3 ω (1 – ω )
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