|
MatrixPolynomialAlgebra[Degree] - compute the degree of a matrix of polynomials.
MatrixPolynomialAlgebra[Ldegree] - compute the low degree of a matrix of polynomials.
|
|
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
|
|
|
>
|
|
|
>
|
|
|
![A := Matrix([[3+x, 1, -4*x^3], [4*x^2, x, 2*x], [x^2-1, 4, -x^3]])](/support/helpjp/helpview.aspx?si=7295/file02405/math114.png)
| (1) |
|
>
|
|
|
| (2) |
|
>
|
](/support/helpjp/helpview.aspx?si=7295/file02405/math125.png)
|
|
![[3, 2, 3]](/support/helpjp/helpview.aspx?si=7295/file02405/math128.png)
| (3) |
|
>
|
](/support/helpjp/helpview.aspx?si=7295/file02405/math132.png)
|
|
![[2, 1, 3]](/support/helpjp/helpview.aspx?si=7295/file02405/math135.png)
| (4) |
|
>
|
|
|
| (5) |
|
>
|
](/support/helpjp/helpview.aspx?si=7295/file02405/math146.png)
|
|
![[0, 1, 0]](/support/helpjp/helpview.aspx?si=7295/file02405/math149.png)
| (6) |
|
>
|
](/support/helpjp/helpview.aspx?si=7295/file02405/math153.png)
|
|
![[0, 0, 1]](/support/helpjp/helpview.aspx?si=7295/file02405/math156.png)
| (7) |
|
|
Download Help Document
Was this information helpful?
