Let [ λ ] be the greatest integer less than or equal to λ. The set of all values of λ for which the system of linear equations x + y + z = 4, 3x + 2y + 5z = 3, 9x + 4y + (28 + [ λ ])z = [ λ ] has a solution is:

Matrices and Determinants: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Aug, Evening shift · Q4598

JEE Main 202127 Aug, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let [

\lambda

] be the greatest integer less than or equal to

\lambda

. The set of all values of

\lambda

for which the system of linear equations x + y + z = 4, 3x + 2y + 5z = 3, 9x + 4y + (28 + [

\lambda

])z = [

\lambda

] has a solution is :