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If omega!=1 is a complex cube root of un...

If `omega!=1` is a complex cube root of unity, then prove that `[{:(1+2omega^(2017)+omega^(2018)," "omega^(2018),1),(1,1+2omega^(2018)+omega^(2017),omega^(2017)),(omega^(2017),omega^(2018),2+2omega^(2017)+omega^(2018)):}]`is singular

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