Solving a system of linear equations, Solving a system of linear equations: -11 – HP 48g Graphing Calculator User Manual

Page 217

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To ewaluate a polynomial at a giwen walue:

1. Enter the polynomial in coefficient form onto the stack.

2. Enter the given value

at

which you want to

evaluate

the

polynomial.

3.

Press

¡»^fSOLVEl P O L Y PtS-'FlL.

To con’i'ert s polynomial froni coefilcient to algebraic form:

1. Open the polynomial root-finder.

2.

If it doesn’t

already

contain

the

polynomial in coefficient form,

enter it into the C O E F F I C I E N T S field.

3. With the highlight on the C O E F F I C I E N T S field, press S Y M B

The symbolic polynomial is sent to the stack using x as the

variable.

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

equations,

remember

that

a system of

equations can be represented by a. single matrix equation of the form

AX = B:

18

Equation Form

Matrix Form

ax 4- by 4-

Q.Z

= ki

dx 4- ey — fc = k

-2

gx + liy 4- ic = ka

' a b c ’

'x"

ki

d e —f

y z=

k

2

-g h

1

.

_ z _

. k a .

The

HP 48

makes

use of

this

representation to solve

systems

of

linear

equations rapidly and efficiently.

to begiji the Linear System

1.

Press

iT^fSOCTEl (A)

®

U

Solver.

2. Enter the matrix of coefficients in the H!: field. You can use either

the MatrixWriter or the command line.

Solving Equations 18-11

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