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

Option C. …\left| {\matrix{ {\lambda - 1} & 2 & 2 \cr 1 & {2 - \lambda } & 1 \cr 1 & 1 & 1 \cr

Matrices and Determinants

JEE Main 2019 · 12 Jan, Evening shift · Q4568

MathematicsEasy244×since 2002Q4568

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 :