JEE-Mains 2015 (5/30)

Algebra Level 4

{ 2 x 1 − 2 x 2 + x 3 = λ x 1 2 x 1 − 3 x 2 + 2 x 3 = λ x 2 − x 1 + 2 x 2 = λ x 3 \begin{cases} 2x_1-2x_2+x_3=\lambda x_1 \\ 2x_1-3x_2+2x_3=\lambda x_2 \\ -x_1+2x_2=\lambda x_3 \end{cases} Find the set of all values of λ \lambda for which the above system of linear equations has a non-trivial solution.

Contains more than two elements Is an empty set Is a singleton set Contains two elements

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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