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Let omega != 1 be cube root of unity an...

Let `omega != 1` be cube root of unity and `S` be the set of all non-singular matrices of the form `[(1,a,b),(omega,1,c),(omega^2,omega,1)],` where each of `a,b, and c` is either `omega` or `omega^2.` Then the number of distinct matrices in the set `S` is (a) `2` (b) `6` (c) `4` (d) `8`

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