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

If omega is an imaginary cube root of unity , prove that, `|{:(a,b,c),(b,c,a),(c,a,b):}|=-(a+b+c)(a+bomega+comega^2)(a+bomega^2+comega)`

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The correct Answer is:
`=-(a+bomega^2+comega)`
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