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Evalute: |{:(1,omega^3,omega^2),(omega^3...

Evalute: `|{:(1,omega^3,omega^2),(omega^3,1,omega),(omega^2,omega,1):}|`, where `omega` is an imaginary cube root of unity .

Text Solution

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The correct Answer is:
`=2-(omega+omega^2)=2-(-1) [because omega omega+omega^2=-1]=3`
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