Important: The linalg package has been deprecated. Use the superseding command LinearAlgebra[JordanBlockMatrix], instead.

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

The function JordanBlock returns a matrix J of a special form: the Jordan block.  The matrix J will be such that $J_{i,i}=t$, $J_{i,i+1}=1$ for $i=1..n-1$ and $J_{i,j}=0$ otherwise.

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

$\mathrm{with}\left(\mathrm{linalg}\right)\:$

$\mathrm{linalg}\left[\mathrm{JordanBlock}\right]\left(3\,5\right)$

$\left[\begin{array}{ccccc}3& 1& 0& 0& 0\\ 0& 3& 1& 0& 0\\ 0& 0& 3& 1& 0\\ 0& 0& 0& 3& 1\\ 0& 0& 0& 0& 3\end{array}\right]$

$\mathrm{linalg}\left[\mathrm{JordanBlock}\right]\left(x\,7\right)$

$\left[\begin{array}{ccccccc}x& 1& 0& 0& 0& 0& 0\\ 0& x& 1& 0& 0& 0& 0\\ 0& 0& x& 1& 0& 0& 0\\ 0& 0& 0& x& 1& 0& 0\\ 0& 0& 0& 0& x& 1& 0\\ 0& 0& 0& 0& 0& x& 1\\ 0& 0& 0& 0& 0& 0& x\end{array}\right]$