The system of linear equations x + y - z = 0, x - y - z = 0, x + y - z = 0 has a non-trivial solution for

JEE Main 2016 Mathematics question

The system of linear equations , , has a non-trivial solution for

Answer: (2)

A homogeneous system has a non-trivial solution precisely when the coefficient determinant vanishes:

= 0.

Expanding along the first row:

1[(-1)(-λ) - (-1)(1)] - λ[λ

Create a free account to read the complete working (6 steps), and practise questions like this in a timed test.

Question ID VK-115482