Let omega be a complex number such that...

Let `omega` be a complex number such that `2omega+1 = z` where `z = sqrt(-3)`. If `/_\=|[1,1,1],[1,-1-omega^(2),omega^(2)],[1,omega^2,omega^7]|` = 3k`, then `k` is equal to

A

`A.1`

B

`B.-z`

C

`C.z`

D

`D.-1`

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