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Matrices And Determinants

JEE Main 2021 (Online) 31st August Morning Shift

MCQ+4 / -12021
If \({a_r} = \cos {{2r\pi } \over 9} + i\sin {{2r\pi } \over 9}\), r = 1, 2, 3, ....., i = \(\sqrt { - 1}\), then
the determinant \(\left| {\matrix{ {{a_1}} & {{a_2}} & {{a_3}} \cr {{a_4}} & {{a_5}} & {{a_6}} \cr {{a_7}} & {{a_8}} & {{a_9}} \cr } } \right|\) is equal to :

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