Determine all possible RREF $$a_1x+b_1y+c_1z=0\\
a_2x+b_2y+c_2z=0\\
a_3x+b_3y+c_3z=0$$
I'm new to Linear Algebra. But from what i understand isn't there only one possible RREF:
$$\left(\begin{array}{ccc|c}
1&0&0&0\\
0&1&0&0\\
0&0&1&0
\end{array}\right)$$

Not really, on some conditions you may get RREF with only two or even one pivot, which depends on the entries of coefficient matrix.
