compute the eigenvalues of a square Matrix - Maple Help

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Student[LinearAlgebra][Eigenvalues] - compute the eigenvalues of a square Matrix

Calling Sequence

Eigenvalues(A, options)

Parameters

A

-

square Matrix; Matrix whose eigenvalues are required

options

-

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

Description

• 

The Eigenvalues(A) command returns the eigenvalues  of the square Matrix A, that is, the values t such that Determinant(A - t . Id(Dimension(A))) = 0.  The eigenvalues are returned in a (column) Vector.

  

Note that eigenvalues are in general complex numbers.

Examples

withStudent[LinearAlgebra]:

A:=1,3|3,2

A:=1332

(1)

EigenvaluesA

12+32512325

(2)

B:=1,4,2|1,0,1|1,2,1

B:=111402211

(3)

EigenvaluesB

2II

(4)

See Also

LinearAlgebra[Eigenvalues], Student[LinearAlgebra], Student[LinearAlgebra][.], Student[LinearAlgebra][CharacteristicPolynomial], Student[LinearAlgebra][EigenPlot], Student[LinearAlgebra][EigenvaluesTutor], Student[LinearAlgebra][Eigenvectors], Student[LinearAlgebra][IdentityMatrix]


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