Q .     Let `ω ≠ 1` be a cube root of unity and `S` be the set of all non-singular matrices of the form
`[(1,a,b),(ω,1,c),(ω^2,ω,1)]` where each of `a, b` and `c` is either `ω` or `ω^2`. Then, find the number of distinct matrices in the set `S`.

JEE 2011 Mains
A

`3`

B

`4`

C

`5`

D

`2`

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