If ar=cos2rπ9+isin2rπ9,r=1,2,3,...,i=√−1, then the determinant � – InterviewSolution

1.	If ar=cos2rπ9+isin2rπ9,r=1,2,3,...,i=√−1, then the determinant ∣∣∣∣a1a2a3a4a5a6a7a8a9∣∣∣∣ is equal to
Answer» If $a_{r} = cos \frac{2 r π}{9} + i sin \frac{2 r π}{9}, r = 1, 2, 3, . . ., i = \sqrt{- 1},$ then the determinant $∣ ∣∣ ∣ \begin{matrix} a_{1} & a_{2} & a_{3} a_{4} & a_{5} & a_{6} a_{7} & a_{8} & a_{9} \end{matrix} ∣ ∣∣ ∣$ is equal to

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