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Question

If ω is the cube root of unity, then ∣ ∣ ∣1ωω2ωω21ω21ω∣ ∣ ∣=

A
1
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B
0
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C
ω
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D
ω2
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Solution

The correct option is B 0
∣ ∣ ∣1ωω2ωω21ω21ω∣ ∣ ∣=∣ ∣ ∣1+ω+ω2ωω21+ω+ω2ω211+ω+ω21ω∣ ∣ ∣=∣ ∣ ∣0ωω20ω2101ω∣ ∣ ∣=0.

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