### Matrix Echelon Form

### Echelon Form

A matrix is in echelon form if nonzero rows appear above the zero rows, nonzero rows' first nonzero element is a leading one, leading ones in upper rows appears to the left of the leading ones in any lower rows.

### Row Reduced Echelon Form

A matrix is in row reduced echelon form if nonzero rows appear above the zero rows, nonzero rows' first nonzero element is a leading one, leading ones in upper rows appears to the left of the leading ones in any lower rows, all elements in the column above and below a leading one are zero.