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Let omega=-1/2+i(sqrt(3))/2, then value ...

Let `omega=-1/2+i(sqrt(3))/2,` then 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)`

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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)

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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)|

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