1.

Let ω≠1 be a cube root of unity and S be the set of all non-singular matrices of the form⎡⎢⎣1abω1cω2ω1⎤⎥⎦ where each of a,b and c is either ω or ω2. Then the number of distinct matrices in the set S is

Answer»

Let ω1 be a cube root of unity and S be the set of all non-singular matrices of the form

1abω1cω2ω1 where each of a,b and c is either ω or ω2. Then the number of distinct matrices in the set S is



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