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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