If `omega` is the complex cube root of unity, then prove that `|[1,1,1],[1,-1-omega^2,omega^2],[1,omega^2,omega^4]|=+-3sqrt3i`

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^2)^4=

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 |[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 |[1,1+i+omega^2,omega^2],[1-i,-1,omega^2-1],[-i,-i+omega-1,-1]|=

If omega is a complex cube root of unity.Show that Det[[1,omega,omega^(2)omega,omega^(2),1omega^(2),1,omega]]=0

If omega is a complex cube root of unity, then show that: (1 + omega)^3 - (1 + omega^2)^3 = 0