jee-main 2022 Q71

jee-main · India · session1_25jun_shift2 Matrices Linear System and Inverse Existence
The system of equations $-kx + 3y - 14z = 25$ $-15x + 4y - kz = 3$ $-4x + y + 3z = 4$ is consistent for all $k$ in the set
(1) $R$
(2) $R - \{-11, 13\}$
(3) $R - \{-13\}$
(4) $R - \{-11, 11\}$
The system of equations\\
$-kx + 3y - 14z = 25$\\
$-15x + 4y - kz = 3$\\
$-4x + y + 3z = 4$\\
is consistent for all $k$ in the set\\
(1) $R$\\
(2) $R - \{-11, 13\}$\\
(3) $R - \{-13\}$\\
(4) $R - \{-11, 11\}$