Let ω be a complex cube root of unity with ω ≠ 1 and P = [p_ ij ] be a n × n matrix with p_ ij = ^ i+j . Then P^2 0, when n =

JEE Advanced 2013 Mathematics question

Let ω be a complex cube root of unity with ω ≠ 1 and be a n × n matrix with . Then , when n =

Answer: (B),(C),(D)

. The sum is zero exactly when n is a multiple of 3

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Question ID VK-026226