JEE PYQ: Matrices And Determinants Question 14
Question 14 - 2021 (18 Mar Shift 2)
Let the system of linear equations $4x + \lambda y + 2z = 0$, $2x - y + z = 0$, $\mu x + 2y + 3z = 0$, $\lambda, \mu \in \mathbb{R}$, has a non-trivial solution. Then which of the following is true?
(1) $\mu = 6, \lambda \in \mathbb{R}$
(2) $\lambda = 2, \mu \in \mathbb{R}$
(3) $\lambda = 3, \mu \in \mathbb{R}$
(4) $\mu = -6, \lambda \in \mathbb{R}$