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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 provided (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
mn
nmnn
m
m
aaa
aaa
aaa
A
×
⎥
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎢
⎣
⎡
=
L
MOMM
L
L
21
22221
11211
1
2
1
×
⎥
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎢
⎣
⎡
=
m
m
x
x
x
x
M
1
2
1
×
⎥
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎢
⎣
⎡
=
n
n
b
b
b
b
M
.
6
13
13
,,
422
831
532
3
2
1
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎣
⎡
−
−=
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎣
⎡
=
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎣
⎡
−
−
−
= bxA and
x
x
x