If `1;w;w^2` are cube root of unity and n is a positive integer;then `1+w^n+w^(2n)` = {3; When n is multiple of 3; 0; when n is not a multiple of 3

If 1,w,w^(2) are the cube roots of unity then (1)/(1+w^2)+(2)/(1+w)-(3)/(w^2+w)=

If w be an imaginary cube root of unity,show that 1+w^(n)+w^(2n)=0, for n=2,4

Let omega ne 1 , be a cube root of unity, and f : I rarr C be defined by f(n) = 1 + omega^(n) + omega^(2n) , then range of f is

If omega(ne 1) be a cube root of unity and (1+omega^(2))^(n)=(1+omega^(4))^(n) , then the least positive value of n, is

Let omega be a complex cube root of unity with omega ne 0 and P=[p_(ij)] be an n x n matrix with p_(ij)=omega^(i+j) . Then p^2ne0 when n is equal to :