Jordan Basis

Definition

This is a basis that allows Change of Basis to convert a matrix into its Jordan Form

Finding Jordan Basis

1. Find all Eigenvalue of $A$
2. Find a basis for every Eigenspace
3. For every basis vector $v$ created by the eigenspace basis:
   1. Find one $v$ which solves $Tv=\lambda v+v$ if possible
4. Those $v$ will form the jordan basis