The set of all value of \( \lambda \) for which the system of linea...

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The set of all value of \( \lambda \) for which the system of linear equations :
\[
\begin{array}{l}
2 x_{1}-2 x_{2}+x_{3}=\lambda x_{1} \\
2 x_{1}-3 x_{2}+2 x_{3}=\lambda x_{2} \\
-x_{1}+2 x_{2}=\lambda x_{3}
\end{array}
\]
P
has a non-trivial solution,
(1) is an empty set
(2) is a singleton
(3) contains two elements
(4) contains more than two elements
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