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