Process
- Find the Eigenvalues of the matrix
- Note down the Algebraic Multiplicity for each eigenvalue, this is how big your jordan box will be
- For each eigenvalue, find the basis vectors for the kernels. This will allow you to find Geometric Multiplicity. This is the structure of 1’s in your jordan box.
Construct the jordan matrix accordingly now, Example for box structure based off algebraic and geometric multiplicity:
