Pcar, Powmod – HP 49g Graphing Calculator User Manual

Page 169

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PCAR

Type:

Command

Description:

Returns the characteristic polynomial of an n x n

matrix.

Access:

Matrices,

R(MAlilS) EIGENVECTORS

Input:

A square matrix.

Output:

The characteristic polynomial of the matrix.

Flags:

Exact mode must be set (flag -105 clear).
Numeric mode must not be set (flag -03 clear).

Example:

Find the characteristic polynomial of the following

matrix:

5 8

16

4 1

8

_-4 -4

-11.

Command:

PCAR ( [

[5,

Result:

X"3 + 5 * X " ' 2 + 3 * X - 9

POWMOD

Type:

Fimction

Description:

Raises an object (number or expression) to the specified

power, and expresses the result modulo the current
modulus.

Access:

Arithmetic, RiSTH)

modulo

Input:

Level 2/Argmnent 1: The object.
Level 1/Argument 2: The exponent.

Output:

The result of the object raised to the exponent, modulo
the cmxent modulus.

Flags:

Exact mode must be set (flag -105 clear).
Numeric mode must not be set (flag -03 clear).

Page 14-46

Computer Algebra Commands

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