If `omega` is the complex cube root of unity then ` |[1,1+i+omega^2,omega^2],[1-i,-1,omega^2-1],[-i,-i+omega-1,-1]|=`

If omega is the complex cube root of unity then 1quad 1+i+omega^(2),omega^(2)1-i,-1-iquad -i+omega-1]|=

if omega!=1 is a complex cube root of unity, and x+iy=|[1,i,-omega],[-I,1,omega^2],[omega,-omega^2,1]|

If omega is the complex cube root of unity,then prove that det[[1,1,11,-1-omega^(2),omega^(2)1,omega^(2),omega^(4)]]=+-3sqrt(3)i

If omega is a complex cube root of unity, then (1-omega+omega^(2))^(6)+(1-omega^(2)+omega)^(6)=

If omega ne 1 is a cube root of unity, then 1, omega, omega^(2)

If one of the cube roots of 1 be omega, then |(1,1+omega^2,omega^2),(1-i,-1,omega^2-1),(-i,-1+omega,-1)| (A) omega (B) i (C) 1 (D) 0