Complex NumbersHard

Question

If 1, ω, ω2 are the cube roots of unity, then
ᐃ = is equal to

Options

A.0
B.1
C.ω
D.ω2 

Solution

ᐃ = = 0
Since, 1 + ωn + ω2n = 0, if n is not a multiple of 3
Therefore, the roots are identical.
Hence, (A) is the correct answer

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