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Matrices and Determinants question

2016 · Shift 0 · Q28

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JEE Main
Mathematics
Matrices and Determinants
2016 · Shift 0 · Q28

Matrices and Determinants question

2016 · Shift 0 · Q28

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

The system of linear equations

\begin{matrix} {x + \lambda y - z = 0} \\ {\lambda x - y - z = 0} \\ {x + y - \lambda z = 0} \\ \end{matrix}

has a non-trivial solution for :

A
infinitely many values of $\lambda .$
B
exactly one value of $\lambda .$
C
exactly two values of $\lambda .$
D
exactly three values of $\lambda .$

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