|
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
|
|
|
>
|
![with(Student[LinearAlgebra])](/support/helpjp/helpview.aspx?si=4389/file04984/math71.png)
|
|
>
|
|
|
![A := Matrix([[1, 3], [3, -2]])](/support/helpjp/helpview.aspx?si=4389/file04984/math78.png)
| (1) |
|
>
|
|
|
*5^(1/2)], [-1/2-(3/2)*5^(1/2)]])](/support/helpjp/helpview.aspx?si=4389/file04984/math85.png)
| (2) |
|
>
|
|
|
![B := Matrix([[1, -1, -1], [4, 0, 2], [-2, 1, 1]])](/support/helpjp/helpview.aspx?si=4389/file04984/math92.png)
| (3) |
|
>
|
|
|
](/support/helpjp/helpview.aspx?si=4389/file04984/math99.png)
| (4) |
|
|
Download Help Document
Was this information helpful?
