HP 50g Graphing, 48gII Graphing manual Rref

rref

Type:	Command
Description:	Reduces a matrix to rowreduced echelon form, and	provides a list of pivot points.
Access:	PSOLVE, 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 rowreduced echelon form, and find the	pivot points, for the matrix:

		2		1
Command:			3 4
	rref([[2,1][3,4]])
Result:	{Pivots: {5,1.,2,1.},[[10,0][0,5]]}
See also:	RREFMOD
RREF
Type:	Command
Description:	Reduces a matrix to rowreduced echelon form. The reduction is carried out completely, so a
	square matrix is reduced to an identity matrix. Stepbystep mode can be used to show how the
	reduction proceeds.
Access:	Matrices, !Ø LINEAR SYSTEMS, !´MATRX FACTR
Input:	A matrix.
Output:	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).
	Stepbystep mode can be set (flag –100 set).
Example:	Solve the system of linear equations:
	3x + 4y = 5
	5x + 6y = 7
	by reducing the augmented matrix that represents this system.
Command:	RREF([[3, 4, 5] [ 5, 6, 7]])
Result:	[[1, 0, -1] [0, 1, 2]]
	This reduced matrix represents the system:
	1x + 0y = –1
	0x + 1y = 2
	so that the solution is x = –1, y = 2 .
See also:	rref, RREFMOD

3210 Full Command and Function Reference