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Jordan
Reading time: 1minThe Jordan decomposition of a matrix A is a change of basis where A is written into a diagonal or quasi-diagonal form: A=P-1JP, where P is the change of basis matrix and J is a matrix with the following structure
where λ1,...,λn are the eigenvalues of A.
Syntax
jordan(Matrix)
Description
Given a matrix, returns the matrix J. If the option transformation_matrix is set to true, the output is a list with J and P.
Options
Below is a complete list of options that may be used in the jordan function.
| Option | Description | Format | Default value |
|---|---|---|---|
| transformation_matrix | We can choose if we want the output of the transformation matrix P or not. | {transformation_matrix=true} |
transformation_matrix=false |
| exact_computations | We can choose to perform or not exact computations. | {exact_computations=false} |
true, but depends on the input |