HP 48GII

4-56 Computer Algebra Commands
See also: GAUSS
PARTFRAC
Type: Command
Description: Performs partial fraction decomposition on a partial fraction.
Access: Algebra …× or Arithmetic, !Þ POLYNOMIAL LL
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
x
2
1–
--------------
Command:
PARTFRAC(1/(X^2-1))
Result: 1/2/(X-1)+-1/2/(X+1)
See also: PROPFRAC
PCAR
Type: Command
Description: Returns the characteristic polynomial of an n × n matrix.
Access: Matrices, !Ø L 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 -3 clear).
Example: Find the characteristic polynomial of the following matrix:
5816
41 8
4–4–11–
Command: PCAR([[5,8,16][4,1,8][-4,-4,-11]])
Result: X^3+5*X^2+3*X-9
See also: JORDAN, PMINI
PMINI
Type: Command
Description: Finds the minimal polynomial of a matrix.
Access: Matrices, ! Ø LEIGENVECTORS
Input: An nxn matrix A.
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).