A) - 2
B) 4
C) 2
D) - 4
Correct Answer: B
Solution :
The matrix \[\left[ \begin{matrix} 1 & 3 & \lambda +2 \\ 2 & 4 & 8 \\ 3 & 5 & 10 \\ \end{matrix} \right]\] is singular, If \[\,\left| \,\begin{matrix} 1 & 3 & \lambda +2 \\ 2 & 4 & 8 \\ 3 & 5 & 10 \\ \end{matrix}\, \right|=0\] Þ \[1(40-40)-3(20-24)+(\lambda +2)(10-12)=0\] Þ \[2(\lambda +2)=12\Rightarrow \lambda =4.\]You need to login to perform this action.
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