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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, omega^2,omega]]` is (a) `3omega` (b) `3omega(omega-1)` (c) `3omega^2` (d) `3omega(1-omega)`

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