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Matrices and Determinants question

2005 · Shift 0 · Q75

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JEE Main
Mathematics
Matrices and Determinants
2005 · Shift 0 · Q75

Matrices and Determinants question

2005 · Shift 0 · Q75

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

The system of equations

\begin{matrix} {\alpha \,x + y + z = \alpha - 1} \\ {x + \alpha y + z = \alpha - 1} \\ {x + y + \alpha \,z = \alpha - 1} \\ \end{matrix}

has no solutions, if

\alpha

is :

A
$-2$
B
either $-2$ or $1$
C
not $-2$
D
$1$

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