jee-main 2022 Q69

jee-main · India · session1_28jun_shift1 Matrices Linear System and Inverse Existence
If the system of linear equations $2x + 3y - z = -2$ $x + y + z = 4$ $x - y + |\lambda|z = 4\lambda - 4$ where $\lambda \in \mathbb{R}$, has no solution, then
(1) $\lambda = 7$
(2) $\lambda = -7$
(3) $\lambda = 8$
(4) $\lambda^2 = 1$
If the system of linear equations\\
$2x + 3y - z = -2$\\
$x + y + z = 4$\\
$x - y + |\lambda|z = 4\lambda - 4$ where $\lambda \in \mathbb{R}$,\\
has no solution, then\\
(1) $\lambda = 7$\\
(2) $\lambda = -7$\\
(3) $\lambda = 8$\\
(4) $\lambda^2 = 1$