Determinants

Question

The set of all values of λ for which the system of linear equations

2x₁-2x₂+x₃ = λx₁
2x₁- 3x₂ + 2x₃ = λx₂
-x₁ + 2x₂ = λx₃
a non- trivial solution.

is an empty set

is a singleton set

contains two elements

contains more than two elements

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Solution

contains two elements