The JordanBlockMatrix(K) command, where K is a list of ordered pairs [a, b], constructs a Matrix whose diagonal blocks are b-dimensional Jordan blocks defined by a.

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{LinearAlgebra}\right]\right)\:$

$\mathrm{JordanBlockMatrix}\left(\left[\left[x\,3\right]\,\left[5\,1\right]\,\left[y\,2\right]\right]\right)$

$\left[\begin{array}{cccccc}x& 1& 0& 0& 0& 0\\ 0& x& 1& 0& 0& 0\\ 0& 0& x& 0& 0& 0\\ 0& 0& 0& 5& 0& 0\\ 0& 0& 0& 0& y& 1\\ 0& 0& 0& 0& 0& y\end{array}\right]$

$\mathrm{JordanBlockMatrix}\left(\left[\left[2\,2\right]\,\left[3\,2\right]\right]\right)$

$\left[\begin{array}{cccc}2& 1& 0& 0\\ 0& 2& 0& 0\\ 0& 0& 3& 1\\ 0& 0& 0& 3\end{array}\right]$