JEE Advanced 2011 Mathematics question
Let ω ≠ 1 be a cube root of unity and S be the set of all non-singular matrices of the form
,
where each of a, b, and c is either ω or . Then the number of distinct matrices in the set S is
Answer: (A)
Solution
Expanding along the first row: . The matrix is singular iff or
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account