If the equations $$ \begin{aligned} & k x+(k+1) y+(k-1) z=0, \ & (k-1) x+(k+2) y+k z=0 ext { and } \ & (k+1) x+k y+(k+2) z=0 \end{aligned} $$ have a non trivial solution, then the sum of all the possible values of $k$ is

Question

If the equations $$ \begin{aligned} & k x+(k+1) y+(k-1) z=0, \ & (k-1) x+(k+2) y+k z=0 	ext { and } \ & (k+1) x+k y+(k+2) z=0 \end{aligned} $$ have a non trivial solution, then the sum of all the possible values of $k$ is

Aicharya · Accepted Answer

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If the equations $$ \begin{aligned} & k x+(k+1) y+(k-1) z=0, \\ & (k-1) x+(k+2) y+k z=0 \text { and } \\ &…

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