>[!tip] For solving equations in Row Echelon Form
> You can use the following method(s):
> - [[Gauss-Jordan Elimination]]
An [[Augmented Matrix]] is in row echelon form if each leading term is to the right of the one above it.
$\huge
\rowechelon{
a_{0}&b_0&c_0&d_0\\
0&a_1&b_1&d_1\\
0&0&b_2&d_2\\
}
$
>[!note] Rows with no leading term (all zeros) will be at the bottom
For a more simpler version, you can convert a [[Row Echelon Form]] to [[Reduced Row Echelon Form]]