The value of `|(1,1,1),(1,omega,omega^2), (1,omega^2,omega)|`is

The value of det[[1,1,11,omega,omega^(2)1,omega^(2),omega]]

Let omega=-1/2+i(sqrt(3))/2 . Then the value of the determinant |(1,1,1),(1,-1-omega^2,omega^2),(1,omega^2,omega^4)| is (A) 3omega (B) 3omega(omega-1) (C) 3omega^2 (D) 3omega(1-omega)

Let omega=-1/2+i(sqrt(3))/2 . Then the value of the determinant |(1,1,1),(1,-1-omega^2,omega^2),(1,omega^2,omega^4)| is (A) 3omega (B) 3omega(omega-1) (C) 3omega^2 (D) 3omega(1-omega)

Let omega=-(1)/(2)+i (sqrt(3))/(2) , then the value of |[1,1,1],[1,-1-omega^(2),omega^(2)],[1,omega^(2),omega^(4)]| is

find the value of |[1,1,1],[1,omega^(2),omega],[1,omega,omega^(2)]| where omega is a cube root of unity

Given omega = -frac{1}{2}+frac{isqrt(3)}{2} , then the value of /_\=|[1,1,1],[1,-1-omega^(2),omega^(2)],[1,omega^2,omega^4]|