Important: The linalg package has been deprecated. Use the superseding packages, LinearAlgebra and VectorCalculus, instead.

- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.

The call jordan(A) computes and returns the Jordan form J of a matrix A.

J has the following structure:  where the ji's are Jordan block matrices.  The diagonal entries of these Jordan blocks are the eigenvalues of A (and also of J).

If the optional second argument is given, then P will be assigned the transformation matrix corresponding to this Jordan form, that is, the matrix P such that .

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

The command with(linalg,jordan) allows the use of the abbreviated form of this command.