Row Echelon Form

Row Echelon Form is given by the following rules:

1. Any rows consisting entirely of zeroes are at the bottom.
2. In each nonzero row, the first nonzero entry (called the leading entry) is in a column to the left of any leading entries below it.

Reduced Row Echelon From is an extended version of the Row Echelon Form that makes it easier to solve the matrix.

See 1-augmented_row_echelon.