Let the system of linear equations 4x + λ y + 2z = 0 2x - y + z = 0 μ x + 2y + 3z = 0, λ, μ R. has a non-trivial solution. Then which of the following is true?

Matrices and Determinants: JEE Main 2021 Mathematics question

JEE Main 2021 · 18 Mar, Evening shift · Q4593

JEE Main 202118 Mar, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let the system of linear equations 4x +

\lambda

y + 2z = 0 2x

-

y + z = 0

\mu

x + 2y + 3z = 0,

\lambda

\mu

\in

R. has a non-trivial solution. Then which of the following is true?