यदि `omega` इकाई का घनमूल हो , तो सिद्ध कीजिए कि - `|(1,omega^3,omega^2),(omega^3,1,omega^2),(omega^2,omega,1)|`

Find the value of : |(1,omega^3,omega^2),(omega^3,1,omega),(omega^2,omega,1)|

Find the value of : |(1,omega,omega^2),(omega,omega^2,1),(omega^2,1,omega)|

|[1,omega,omega^2] , [omega, omega^2,1] , [omega^2,1,omega]|=0

find determinant of |(1, omega, omega^(2)),(omega, omega^(2),1),(omega^(2),1,omega)|=

(2+omega+omega^2)^3+(1+omega-omega^2)^8-(1-3omega+omega^2)^4=1

If omega is a cube root of unity |(1, omega, omega^(2)),(omega, omega^(2), 1),(omega^(2), omega, 1)| =

Prove that (1-omega-omega^(2))(1-omega+omega^(2))(1+omega-omega^(2))=8

If omega = (-1+sqrt3i)/2 , find the value of |(1, omega, omega^2),(omega, omega^2, 1),(omega^2, 1 , omega)|

If omega is cube root of unit, then find the value of determinant |(1,omega^3,omega^2), (omega^3,1,omega), (omega^2,omega,1)|.