The set of all values of

Question:

The set of all values of $\lambda$ for which the system of linear equations:

$2 x_{1}-2 x_{2}+x_{3}=\lambda x_{1}$

$2 x_{1}-3 x_{2}+2 x_{3}=\lambda x_{2}$

$-\mathrm{x}_{1}+2 \mathrm{x}_{2}=\lambda \mathrm{x}_{3}$

has a non-trivial solution

  1. contains two elements

  2. contains more than two elements

  3. is an empty set

  4. is a singleton


Correct Option: 1

Solution:

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