HP 48G Series Quick Start Manual page 67

Lesson 20: Solving a System of Linear
Equations
The HP 48 can solve a system of linear equations. To create your
system of equations, you can either choose them from among those
you've stored, or enter them directly.
As you solve a system of equations, remember that a system of
equations can be represented by a single matrix equation of the form
AX =B:
Equation Form Matrix Form
3z + y+ 22 = 13 3 1 2 X 13
r+ y— 8z —1 — 1 1 =8||y|=|-1
—z + 2y +52 = 13 -1 2 5 z 13
The HP 48 makes use of this representation to solve systems of linear
equations rapidly and efficiently.
Example: Solve the system of linear equations shown above. (This
example assumes that the current display mode is Std.)
Step 1: Select Zmlue lim sus... from the SOLVE menu.
ENTER COEFFICIENTS MATRIX A
Step 2: Enter the matrix of coefficients (Matrix A) using the
MatrixWriter.
@(/1 x ) 3 ENTER) 1
(ENTER) 2 (ENTER) (¥) | (ENTER)
| (ENTER) 8 (°F) (ENTER) 1 (FF)
(ENTER) 2 (ENTER) 5 (ENTER)
ENTER ENTER COEFFICIENTS MATRIX A
IER(TTFII
Solving Equations 5-11