If for the system of linear equations having infinite solutions

\(
\begin{aligned}
& (\lambda-4) x+(\lambda-2) y+\lambda z=0 \\
& 2 x-3 y+5 z=0 \\
& x+2 y+6 z=0
\end{aligned}
\)

then \(\lambda^2+\lambda\) is

Question

If for the system of linear equations having infinite solutions

\(
\begin{aligned}
& (\lambda-4) x+(\lambda-2) y+\lambda z=0 \\
& 2 x-3 y+5 z=0 \\
& x+2 y+6 z=0
\end{aligned}
\)

then \(\lambda^2+\lambda\) is

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If for the system of linear equations having infinite solutions \( \begin{aligned} & (\lambda-4) x+(\lambda-2) y+\la…