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

Option A. …D = \left| {\matrix{ 1 & 1 & 1 \cr 3 & 2 & 5 \cr 9 & 4 & {28 + [\lambda ]} \cr

Matrices and Determinants

JEE Main 2021 · 27 Aug, Evening shift · Q4598

MathematicsMedium244×since 2002Q4598

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 :