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                        Jordan

                        Reading time: 1min

                        The 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

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                        Jordan

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