A) 1
B) 2
C) 3
D) 4
Correct Answer: D
Solution :
Matrix \[\left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 3 & \lambda & 5 \\ \end{matrix} \right]\]be non singular, only if \[\left| \,\begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 3 & \lambda & 5 \\ \end{matrix}\, \right|\ne 0\] Þ \[\,1(25-6\lambda )-2(20-18)+3(4\lambda -15)\ne 0\] Þ \[25-6\lambda -4+12\lambda -45\ne 0\] Þ \[6\lambda -24\ne 0\]Þ \[\lambda \ne 4\].You need to login to perform this action.
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