Recap


a. Every entry not on the diagonal or superdiagonal is zero. The entries on the diagonal are the eigenvalues, repeated according to their multiplicity in the characteristic polynomial.


b. There is one Jordan block corresponding to each eigenvector.


c. Each eigenvalue appears along the main diagonal the number of times of it's multiplicity in the characteristic polynomial.


Property d of a matrix in Jordan form

You might have discovered that the first (that is, largest) block containing a certain eigenvalue in the Jordan form has the size of the multiplicity of that eigenvalue in the minimal polynomial.
There may be other blocks containing that eigenvalue, but they cannot be larger than the multiplicity of that eigenvalue in the minimal polynomial.

Up to Jordan Canonical Form