A) \[\lambda =-5\]
B) \[\lambda =5\]
C) \[\lambda =3\]
D) \[\lambda =-13\]
Correct Answer: A
Solution :
\[\therefore \] \[\left| \begin{matrix} 3 & -1 & 4 \\ 1 & 2 & -3 \\ 6 & 5 & \lambda \\ \end{matrix} \right|=0\] \[\Rightarrow \] \[3(2\lambda +15)+1(\lambda +18)+4(5-12)=0\] \[\Rightarrow \] \[6\lambda +45+\lambda +18-28=0\] \[\Rightarrow \] \[7\lambda =-35\,\,\,\Rightarrow \,\,\,\,\lambda =-5\]You need to login to perform this action.
You will be redirected in
3 sec