Question

The set of all values of λ for which the system of linear equations 2x₁ - 2x₂ + x₃ = λx₁, 2x₁ - 3x₂ + 2x₃ = λx₂ and -x₁ + 2x₂ = λx₃ has a non-trivial solution

(a) is an empty set

(b) is a singleton set

(c) contains two elements

(d) contains more than two elements

Answer 1

Correct option (c) contains two elements

Explanation:

Given system of linear equations

Since, the system has nontrivial solution,