jee-main 2022 Q72

jee-main · India · session2_25jul_shift2 Matrices Linear System and Inverse Existence
The number of real values of $\lambda$, such that the system of linear equations $2x - 3y + 5z = 9$ $x + 3y - z = -18$ $3x - y + (\lambda^2 - |\lambda|)z = 16$ has no solutions, is
(1) 0
(2) 1
(3) 2
(4) 4
The number of real values of $\lambda$, such that the system of linear equations\\
$2x - 3y + 5z = 9$\\
$x + 3y - z = -18$\\
$3x - y + (\lambda^2 - |\lambda|)z = 16$ has no solutions, is\\
(1) 0\\
(2) 1\\
(3) 2\\
(4) 4