Let ω ≠ 1 be a cube root of unity and S be the set of all non-singular matrices of the…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
Let ω ≠ 1 be a cube root of unity and S be the set of all non-singular matrices of the form \[\left[\begin{array}{ccc}
1 & a & b \\
\omega & 1 & c \\
\omega^{2} & \omega & 1
\end{array}\right],\] where each of a, b and c is either ω or ω2. Then the number of distinct matrices in the set S is
- 2
- 6
- 4
- 8
Answer
(B) 6
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