Lesson 20: solving a system of linear equations, Ijdtilmililiml – HP 48G User Manual
Page 65
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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 equat.ions, remember that a system of
equations can be represented by a single matrix equation of the form
AX = B:
Equation Form
Matrix Form
3,r -|-
y ' I z
— 13
■ 3 1 2 ■
"x’
■ 13 ■
;r + ^ = -1 -fr
1 1 -8
y
—
-1
—
X 2 y —
13
.-1 2 5 .
„ ^ -
. 13 .
The HP 48 makes use of this representation to solve systems of linear
ecpiations rapidly and efficiently.
Exaiiiphu Solve the
system
of
linear equations shown
above. (This
example
assumes
that the
current display mode is Std.)
S t e p 1 :
Select S o l '
o
from the SOLVE menu.
E N T E R
S t e p 2 :
Enter the matrix of coefficients (Matrix A) using the
MatrixWriter.
(Q
3 (ENTERl 1
fENTER~l 2 (ENTER) (T) 1 (ENTER)
1
(ENTEtP) 8 (^ (ENTER) 1 (Vn
(ENTERl 2(ENTER)5 (ENTER)
(
e n t e r
)
enter
CDEFFICIENTS
mrtrik
r
IJdtilMililiMl
Solving Equations 5-11