If n is not a multiple of 3 and 1, ω, ω 2 are the cube roots of unity, then ∆ = | array…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
If n is not a multiple of 3 and 1, ω, ω2 are the cube roots of unity, then
∆ = \[\left|\begin{array}{ccc} 1 & \omega^{n} & \omega^{2 n} \\ \omega^{2 n} & 1 & \omega^{n} \\ \omega^{n} & \omega^{2 n} & 1 \end{array}\right|\] is equal to
∆ = \[\left|\begin{array}{ccc} 1 & \omega^{n} & \omega^{2 n} \\ \omega^{2 n} & 1 & \omega^{n} \\ \omega^{n} & \omega^{2 n} & 1 \end{array}\right|\] is equal to
- 0
- ω
- ω2
- 1
Answer
(A) 0
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