Using the numerical solver for linear systems – HP 48gII User Manual
Page 343
Page 11-17
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
‚Ï. From the numerical
solver screen, shown below (left), select the option
4. Solve lin sys.., and
press
@@@OK@@@. The following input form will be provide (right):
To solve the linear system
A⋅x = b, enter the matrix A, in the format [[ a
11
,
a
12,
… ], … [….]] in the A: field. Also, enter the vector
b in the B: field.
When the X: field is highlighted, press [SOLVE]. If a solution is available, the
solution vector
x will be shown in the X: field. The solution is also copied to
stack level 1. Some examples follow.
A square system
The system of linear equations
2x
1
+ 3x
2
–5x
3
= 13,
x
1
– 3x
2
+ 8x
3
= -13,
2x
1
– 2x
2
+ 4x
3
= -6,
can be written as the matrix equation
A⋅x = b, if
.
6
13
13
,
,
4
2
2
8
3
1
5
3
2
3
2
1
−
−
=
=
−
−
−
=
b
x
A
and
x
x
x
This system has the same number of equations as of unknowns, and will be
referred to as a square system. In general, there should be a unique solution
to the system. The solution will be the point of intersection of the three planes
in the coordinate system (x
1
, x
2
, x
3
) represented by the three equations.