A) Contains two elements
B) Contains more than two elements.
C) Is an empty set
D) Is a singleton.
Correct Answer: A
Solution :
To have Non- Trivial solution \[D=0\Rightarrow \left| \begin{matrix} \lambda -2 & 2 & -1 \\ 2 & -3-\lambda & 2 \\ -1 & 2 & -\lambda \\ \end{matrix} \right|=0\] \[\Rightarrow \]\[{{\lambda }^{3}}+{{\lambda }^{2}}-5\lambda +3=0\] \[\lambda =1,1,3\] Hence\[\lambda \] have 2 ValuesYou need to login to perform this action.
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