MathematicsMedium244×since 2002Q4555The set of all values of λ\lambdaλ for which the system of linear equations: \matrix2x1−2x2+x3=λx1\cr2x1−3x2+2x3=λx2\cr−x1+2x2=λx3\cr\matrix{ {2{x_1} - 2{x_2} + {x_3} = \lambda {x_1}} \cr {2{x_1} - 3{x_2} + 2{x_3} = \lambda {x_2}} \cr { - {x_1} + 2{x_2} = \lambda {x_3}} \cr }\matrix2x1−2x2+x3=λx1\cr2x1−3x2+2x3=λx2\cr−x1+2x2=λx3\cr has a non-trivial solutionAcontains two elementsBcontains more than two elementsCin an empty setDis a singletonCheck answerSkip