jee-main 2012 Q78

jee-main · India · 07may Matrices Linear System and Inverse Existence
If the system of equations $$\begin{aligned} & x + y + z = 6 \\ & x + 2 y + 3 z = 10 \\ & x + 2 y + \lambda z = 0 \end{aligned}$$ has a unique solution, then $\lambda$ is not equal to
(1) 1
(2) 0
(3) 2
(4) 3
If the system of equations
$$\begin{aligned}
& x + y + z = 6 \\
& x + 2 y + 3 z = 10 \\
& x + 2 y + \lambda z = 0
\end{aligned}$$
has a unique solution, then $\lambda$ is not equal to\\
(1) 1\\
(2) 0\\
(3) 2\\
(4) 3