Let the system of linear equations $x + 2y + z = 2$, $\alpha x + 3y - z = \alpha $, $ - \alpha x + y + 2z = - \alpha $ be inconsistent. Then $\alpha$ is equal to :

Question

Let the system of linear equations
$x + 2y + z = 2$,
$\alpha x + 3y - z = \alpha $,
$ - \alpha x + y + 2z = - \alpha $
be inconsistent. Then $\alpha$ is equal to :

${5 \over 2}$

$-$${5 \over 2}$

${7 \over 2}$

$-$${7 \over 2}$

Solution

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