Complex NumbersHard
Question
If 1, ω, ω2 are the cube roots of unity, then
ᐃ =
is equal to
ᐃ =
is equal toOptions
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
= 0Since, 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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