Let ω ≠ 1 be a cube root of unity and S be the set of all non- singular matrices of the form [\table 1,a,b;\omega,1,c;\omega^2,\omega,1], where each of a, b, and c is either ω or \omega^2. Then the number of distinct matrices in the set S is [JEE Adv 2011 P2]

Matrices and Determinants

Section: Mathematics

Question : 42 of 56

Marks: +1, -0

Let ω ≠ 1 be a cube root of unity and S be the set of all non- singular matrices of the form [

], where each of a, b, and c is either ω or ω2. Then the number of distinct matrices in the set S is

[JEE Adv 2011 P2]

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