Jordan Form Superdiagonal How do you know how many of the super diagonal entries in the Jordan Form are zeros and how many are ones, and where they are placed?
Thanks.


How many ones?

Each $k\times k$ Jordan block has $k-1$ ones on its superdiagonal. To get the total number, you just add up all the results from all blocks.

How many zeros?

If you find the total number of $1$'s for all blocks, and subtract this from the total number of $n-1$ superdiagonal entries, you have the number of zeros.

where are they placed?

The ones are placed on the superdiagonals of Jordan blocks. The zeros are placed on the remaining superdiagonal positions.
