Find all the possible Jordan forms for $T$ $$T:V \rightarrow V$$ $$\dim(V) = 6$$ $$T^3 \not= 0$$ $$T^4 = 0$$ My solution is that the JCF matrix would be of size $6 \times 6$, the first block would be of size $4$ and the rest is either two blocks of size $1$ or one block of size $2$.
Am I correct?