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Matrices and Determinants question

2015 · Shift 0 · Q33

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JEE Main
Mathematics
Matrices and Determinants
2015 · Shift 0 · Q33

Matrices and Determinants question

2015 · Shift 0 · Q33

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

The set of all values of

\lambda

for which the system of linear equations:

\begin{matrix} {2{x_1} - 2{x_2} + {x_3} = \lambda {x_1}} \\ {2{x_1} - 3{x_2} + 2{x_3} = \lambda {x_2}} \\ { - {x_1} + 2{x_2} = \lambda {x_3}} \\ \end{matrix}

has a non-trivial solution

A
contains two elements
B
contains more than two elements
C
in an empty set
D
is a singleton

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