Student[LinearAlgebra] - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Education : Student Packages : Linear Algebra : Computation : Solvers : Student/LinearAlgebra/JordanForm

Student[LinearAlgebra]

  

JordanForm

  

reduce a Matrix to Jordan form

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

JordanForm(A, options)

Parameters

A

-

Matrix

options

-

(optional) parameters; for a complete list, see LinearAlgebra[JordanForm]

Description

• 

The JordanForm(A) command returns the Jordan form J of Matrix A.

  

The Jordan form J has Jordan block submatrices along its diagonal. The diagonal entries of these Jordan blocks are the eigenvalues of A (and also of J).

  

The Jordan form is unique up to permutations of the Jordan blocks.

• 

The output option (out) determines the content of the returned expression sequence.

  

Depending on what is included in the output option, an expression sequence containing one or more of the factors J (the Jordan form) or Q (the transition Matrix) can be returned. If output is a list, the objects are returned in the same order as specified in the list.

  

The returned Matrix objects have the property that Q-1·A·Q=J.

• 

The constructor options provide additional information (readonly, shape, storage, order, datatype, and attributes) to the Matrix constructor that builds the result. These options may also be provided in the form outputoptions[o]=[...], where [...] represents a Maple list.  If a constructor option is provided in both the calling sequence directly and in an outputoptions[o] option, the latter takes precedence (regardless of the order).

  

The following list indicates permissible values for index [o] of outputoptions with their corresponding meaning.

  

 

J

Jordan form

Q

transition Matrix

Examples

withStudentLinearAlgebra:

A0,2,2,2|3,1,1,3|1,1,1,1|2,2,2,4:

JJordanFormA

J0100000000200002

(1)

EigenvaluesA,EigenvaluesJ

2200,2200

(2)

See Also

LinearAlgebra[JordanForm]

Student[LinearAlgebra]

Student[LinearAlgebra][Eigenvalues]

Student[LinearAlgebra][JordanBlockMatrix]