The set of all values of λ for which the system of linear equations x – 2y – 2z = λ x x + 2y + z = λ y – x – y = λ z has a non-trivial solutions:

(B) contains more than two elements

(D) contains exactly two elements

Matrices and Determinants: JEE Main 2019 Mathematics question

JEE Main 2019 · 12 Jan, Evening shift · Q4568

JEE Main 201912 Jan, Evening shiftMathematicsEasyMatrices and Determinants245× since 2002

The set of all values of

\lambda

for which the system of linear equations x – 2y – 2z =

\lambda

x x + 2y + z =

\lambda

y – x – y =

\lambda

z has a non-trivial solutions :