# Partfrac; Pcar; Pmini - HP 48gII Advanced User's Reference Manual

Graphing calculator.

GAUSS

## PARTFRAC

Type:
Command
Description:
Performs partial fraction decomposition on a partial fraction.
Algebra ...× or Arithmetic, !Þ
Access:
Input:
An algebraic expression.
Output:
The partial fraction decomposition of the expression.
Flags:
Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Radians mode must be set (flag –17 set).
Example:
Perform a partial fraction decomposition of the following expression:
1
------------- -
2
x
1
Command:
PARTFRAC(1/(X^2-1))
Result:
1/2/(X-1)+-1/2/(X+1)
PROPFRAC

### PCAR

Type:
Command
Description:
Returns the characteristic polynomial of an n × n matrix.
Matrices, !Ø
Access:
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 -3 clear).
Example:
Find the characteristic polynomial of the following matrix:
5 8 16
4 1
4
4 – 11
Command:
PCAR([[5,8,16][4,1,8][-4,-4,-11]])
Result:
X^3+5*X^2+3*X-9
JORDAN, PMINI

### PMINI

Type:
Command
Description:
Finds the minimal polynomial of a matrix.
Matrices, ! Ø L
Access:
Input:
An
nxn
Output:
A matrix whose first zero-row contains the minimal polynomial of A. In step-by-step mode,
PMINI shows the row-reduction steps.
Flags:
Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Step-by-step mode can be set (flag –100 set).
4-56 Computer Algebra Commands
L
EIGENVECTORS
8
EIGENVECTORS
matrix A.
LL
POLYNOMIAL