If w is a complex cube root of unity, then the value of the determinant
`Delta = [(1,w,w^(2)),(w,w^(2),1),(w^(2),1,w)]`, is

If omega is a complex cube root of unity, then find the values of: omega + 1/omega

If omega is a complex cube root of unity, then (1+omega^2)^4=

If w is a complex cube root of unity then the value of cos[{(1-w)(1-w^(2))(2-w)(2-w^(2))+......+(10-w)(10-w^(2))}(pi)/(9)] is

If omega is a complex cube root of unity, then (1-omega+(omega)^2)^3 =

If omega is a complex cube root of unity then the value of the determinant |[1,omega,omega+1] , [omega+1,1,omega] , [omega, omega+1, 1]| is