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

—

-1

—

X 2 y —

.-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

linear equations shown

above. (This

example

assumes

that the

current display mode is Std.)

S t e p 1 :

Select S o l '

from the SOLVE menu.

E N T E R

S t e p 2 :

Enter the matrix of coefficients (Matrix A) using the

MatrixWriter.

3 (ENTERl 1

fENTER~l 2 (ENTER) (T) 1 (ENTER)

(ENTEtP) 8 (^ (ENTER) 1 (Vn

(ENTERl 2(ENTER)5 (ENTER)

(

e n t e r

)

enter

CDEFFICIENTS

mrtrik

IJdtilMililiMl

Solving Equations 5-11