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Matrices and Determinants question

2011 · Shift 2 · Q35

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JEE Advanced
Mathematics
Matrices and Determinants
2011 · Shift 2 · Q35

Matrices and Determinants question

2011 · Shift 2 · Q35

JEE AdvancedMathematicsMatrices and DeterminantsMCQ+3 / −1

Let

\omega e

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

\left[ {\begin{matrix} 1 & a & b \\ \omega & 1 & c \\ {{\omega ^2}} & \omega & 1 \\ \end{matrix} } \right]

, 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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