Charpoly - Maple Help
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Charpoly

compute characteristic polynomial function over a ring of characteristic p

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Charpoly(A,x) mod p

Parameters

A

-

square Matrix

x

-

name; specifies the variable in the characteristic polynomial

p

-

non-zero integer; specifies the characteristic of the ring

Description

• 

Given an  by  matrix  over a ring  of prime characteristic , the Charpoly( A, x ) mod p calling sequence computes the characteristic polynomial of , a monic polynomial in  of degree  over .

• 

For matrices over the prime field , for  a prime, Maple uses an  algorithm. Otherwise, Maple uses an  division free algorithm.

Examples

(1)

(2)

(3)

(4)

(5)

(6)

(7)

See Also

Factor

LinearAlgebra[CharacteristicPolynomial]

LinearAlgebra[Modular]

mod

Modular[CharacteristicPolynomial]

RootOf

 


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