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If omega is an imaginary cube root of un...

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

A

`-2omega`

B

`-3omega^(2)`

C

`-1`

D

0 (zero)

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