Using The Numerical Solver For Linear Systems - HP 49g+ User Manual

This system of linear equations can be written as a matrix equation, A
= b , if we define the following matrix and vectors:
n 1
a a
11 12
a a
21 22
A
M M
a a
n 1 n

Using the numerical solver for linear systems

There are many ways to solve a system of linear equations with the calculator.
One possibility is through the numerical solver
solver screen, shown below (left), select the option 4. Solve lin sys.., and
press . The following input form will be provide (right):
@ @ @ O K @ @ @
To solve the linear system A x = b, enter the matrix A, in the format [[ a
a ... ], ... [....]] in the A: field. Also, enter the vector b in the B: field.
12,
When the X: field is highlighted, press
solution vector x will be shown in the X: field. The solution is also copied to
stack level 1. Some examples follow.
The system of linear equations
can be written as the matrix equation A x = b, if
L a
1 m
L a
2 m
,
x
O M
L
a
2 nm
n m
‚ Ï
. If a solution is available, the
@ S O L V E
2x + 3x –5x = 13,
1 2 3
x – 3x + 8x = -13,
1 2 3
2x – 2x + 4x = -6,
1 2 3
n m
x b
1 1
x b
2 2
,
b
M M
x b
m n
m 1 n 1
. From the numerical
Page 9-8
x
m 1
,
11