Reference Guide

3-210 Full Command and Function Reference

rref

Type: Command

Description: Reduces a matrix to row-reduced echelon form, and provides a list of pivot points.

Access: P

SOLVE

, Matrices, !Ø

LINEAR SYSTEMS

Input: A matrix.

Output: Level 2/Item 1: The pivot points.

Level 1/Item 2: An equivalent matrix in row reduced echelon form.

Flags: Exact mode must be set (flag –105 clear).

Numeric mode must not be set (flag –3 clear)

If flag –126 is clear (the default), row reduction is done with the last column. If the flag is set, row

reduction is done without reducing the last column, but the last column will be modified by the

reduction of the rest of the matrix.

Example: Reduce to row-reduced echelon form, and find the pivot points, for the matrix:

Command:

rref([[2,1][3,4]])

Result:

{Pivots: {5,1.,2,1.},[[10,0][0,5]]}