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

Graphing calculator.

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  