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.
2026-04-01 09:38:54.1775036334
Jordan Form Superdiagonal
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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.
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.
The ones are placed on the superdiagonals of Jordan blocks. The zeros are placed on the remaining superdiagonal positions.