Let's say we have a matrix $A\in M_{n,n}(\mathbb R)$.
Assume tht for the eigenvalue $\lambda_1$ we have:
Algebraic Multiplicty: 4
Geometric Multiplicity: 2
Is then the correspodning jordan block alwas the sum of two blocks of size 2 or is it also possible that we have one block of size 1 and one block of size 3?