Jordan Blocks

A Jordan Block has the form of a diagonal matrix with 1's on the "superdiagonal", that is, the diagonal above the main diagonal. The following is an example.

In[6]:=

  J=MatrixForm[{{2,1,0},{0,2,1},{0,0,2}}]

Out[6]=

  2   1   0
  
  0   2   1
  
  0   0   2

The matrix J corresponds to a Jordan Block of size 3 for the eigenvalue 2. The eigenvalue is on the main diagonal. Notice the position of the 1's. This is the superdiagonal.

Up to Jordan Canonical Form