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)|.`

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

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

If omega is a cube root of unity, then find the value of the following: (1+omega-omega^2)(1-omega+omega^2)

If omega is a cube root of unity, then find the value of the following: (1+omega-omega^2)(1-omega+omega^2)

If omega is a cube root of unity, then find the value of the following: (1+omega-omega^2)(1-omega+omega^2)

If omega is a cube root of unity,then find the value of the following: (1+omega-omega^(2))(1-omega+omega^(2))

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

If omega is an imaginary cube root of unity, then the value of the determinant |(1+omega,omega^(2),-omega),(1+omega^(2),omega,-omega^(2)),(omega+omega^(2),omega,-omega^(2))| is

If omega is an imaginary cube root of unity, then the value of the determinant |(1+omega,omega^2,-omega),(1+omega^2,omega,-omega^2),(omega+omega^2,omega,-omega^2)|