HP 48g Graphing Calculator - Manual (Page 183)

Gaussian elimination uses elementary row operations to convert the
augmented matrix to the equivalent row-reduced echelon matrix, from
which the solution can be computed by back-substitution.
The HP 48 offers commands for each of these elementary row
operations by themselves and one that uses these row operations
repeatedly until the row-reduced echelon form is generated:
m RSWP interchanges two rows of a matrix.
■ RCI multiplies each element in a given row of the augmented matrix
by a scalar of your choosing,
■ RCIJ multiplies each element in a given row by a scalar and adds
the result to another row of the matrix.
■ RREF converts an augmented matrix into the equivalent
row-reduced echelon form.
14
To interchange two rows of a matrix:
1. Enter the matrix onto the stack.
2. Enter the numbers of the two rows to be interchanged.
3. Press i M T H ) ri
H
T R R 0 W R S W P .
To multiply the elements of a ro%x of a RiatfLx by a nonzero factor:
1. Enter the array onto the stack.
2. Enter the nonzero factor.
3. Enter the number of the row to be multiplied.
4. Press f M T H 1 M f i T R R O N R C I .
izero factor and one row of an array to
1. Enter the array onto the stack.
2. Enter the nonzero factor.
3. Enter the number of the row to be multiplied by the factor.
4. Enter the number of the row to which the product is to be added.
5. Press (MTH 1 MfiTR R O I m R C I J .
Matrices and Linear Aigebra 14-19