Owner's manual

Table Of Contents
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