HP 49g Graphing Calculator - Manual (Page 168)

3,r + 4:^ = 25
5x - 3i/ = 3
To solve such a system, you can:
1. Enter RREF on the command line.
“RREF”
stands for the
row
-
reduced echelon form
command.
2. Press 0 0.
3. Enter or select the augmented matrix.
The augmented matrix is a matrix of the system’s coefficients and
constants (with the constants set out in the rightmost column of the
matrix). In this example, the augmented matrix looks like this:
3 4 25
-3 3_
4. Press (ENTER).
® If you are in step-by-step mode, a description of the first step in the
process is displayed. Press
OK
to see the result of that step. Keep
pressing
OK
until you have stepped through the entire reduction
process and the row-reduced echelon form of the augmented
matrix is displayed.
® If step-by-step mode is not set, the row-reduced echelon fonn of the
augmented matrix is immediately displayed.
The row-reduced echelon fonn of the augmented matrix in our
example is:
1 0 3
0 1 4
The answer to the system of linear equations is in the rightmost column of
the row-reduced echelon matrix: in oiu example, x = 3 and ?/ = 4.
You can speed up the processing of large matrices by setting the
LARGE MATRICES
system flag (-110).
Page 8-12 Vectors. Lists, arrays, and matrices