Consider the system of linear equations - x-y-z-m x- y-z-nand x-y- z-pIf -2 m-n-p- 0 then system of linear equations has

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Comparing the ratios of coefficients of LE

Consider the ...

Question

Consider the system of linear equations
$α x + y + z = m$
$x + α y + z = n$
and $x + y + α z = p$
If $α = - 2$ & $m + n + p \neq 0$ then system of linear equations has

no solution

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infinite solutions

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unique solution

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finitely many solution

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α x + y + z = m

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If the system of equations $x + α y + α^{2} z = 1, α x + y + α z = - 1, α^{2} x + α y + z = 1$ has infinitely many solutions then $1 + α + α^{2} =$

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