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MatrixPolynomialAlgebra

  

Degree

  

compute the degree of a matrix of polynomials.

  

Ldegree

  

compute the low degree of a matrix of polynomials.

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Degree(A, x)

Degree[row](A, x)

Degree[column](A, x)

Ldegree(A, x)

Ldegree[row](A, x)

Ldegree[column](A, x)

Parameters

A

-

Matrix

x

-

name; specify the variable in which the entries of A are rational polynomials over Q

Description

• 

The Degree(A,x) and Ldegree(A,x) commands compute the highest degree and the lowest degree of a matrix of polynomials.

• 

The Degree[row](A,x) and Ldegree[row](A,x) commands compute the highest degree and lowest degree of each row of a matrix of polynomials. The row degree is returned as a list of integers.

• 

The Degree[column](A,x) and Ldegree[column](A,x) commands compute the highest degree and lowest degree of each column of a matrix of polynomials.  The column degree is returned as a list of integers.

Examples

withMatrixPolynomialAlgebra:

A3+x,4x2,x21|1,x,4|4x3,2x,x3

A:=3+x14x34x2x2xx214x3

(1)

DegreeA,x

3

(2)

Degree[row]A,x

3,2,3

(3)

Degree[column]A,x

2,1,3

(4)

LdegreeA,x

0

(5)

Ldegree[row]A,x

0,1,0

(6)

Ldegree[column]A,x

0,0,1

(7)

See Also

indets

Matrix

MatrixPolynomialAlgebra

 


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