Solve the following system of homogeneous equations: `x+y-z=0` `x-2y+z=0` `3x+6y-5z=0`

Explanation

$$
\left[\begin{array}{ccc}
1 & 1 & -1 \\
1 & -2 & 1 \\
3 & 6 & -5
\end{array}\right]\left[\begin{array}{l}
x \\
y \\
...