JEE Main 2015Session, Shift 1MathematicsMediumMatrices and Determinants245× since 2002The set of all values of λ\lambdaλ for which the system of linear equations: 2x1−2x2+x3=λx12x1−3x2+2x3=λx2−x1+2x2=λx3\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 }2x1−2x2+x3=λx12x1−3x2+2x3=λx2−x1+2x2=λx3 has a non-trivial solutionAOption A. contains two elementsBOption B. contains more than two elementsCOption C. in an empty setDOption D. is a singletonCheckSkip · show solution
