The system of equations
$x + y + z=5$
$x + 2y + 3z=9$
$x + 3y+λz =μ$
has a unique solution, if
Answer & explanation
Correct answer: option 2
The system of equations will have unique solution if
$\begin{vmatrix}1&1&1\\1&2&3\\1&3&λ\end{vmatrix}≠0⇒λ-5≠0⇒λ≠5$