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

Explanation

To solve the given system of homogeneous equations:

1. **Write the equations:**
\[
\begin{align*}
2x + 3y - z &= 0 \quad \text{(1)} \\
x - y - 2z &= 0 \quad \text{(2)} \\
3x + y + 3z &= 0 \quad \text{(3)}
...