What is the value of \left|\begin{array}{ccc}1 & \omega & 2 \omega^2 \ 2 & 2 \omega^2 & 4 \omega^3 \ 3 & 3 \omega^3 & 6 \omega^4 |\end{array} where \omega is the cube root of unity?

UPSC NDA II 2010 Mathematics Paper

Question : 14 of 120

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What is the value of
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where ω is the cube root of unity?

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