Gauß-Jordan elimination
Gauß-Jordan elimination is a modified form of Gaußian elimination by which a system of linear equations may be manipulated into reduced row echelon form through elementary row operations. It modifies Gaußian elimination as follows:
- All nonzero leading entries are set to
by scaling the row. - Entries both above and below a pivot entry are set to
instead of just below. The same method of adding multiples of the pivot row is used.