I have the following two matrices:
1) $$\begin{bmatrix}1&0&0\\ 0&1&1\\ 0&0&0\\0&0&0 \end{bmatrix}$$
I believe this matrix is in the form of reduced row echelon form but I'm a bit unsure.
2) $$\begin{bmatrix}1&2&6&0&0\\0&0&1&2&-2\\0&0&0&0&1\end{bmatrix}$$
I believe this matrix is in row echelon form.
I'm still not 100% sure what defines a row echelon form and reduced row echelon form. I've tried looking everywhere for a clear understanding of it, but I just could grasp it 100%.