As part of an exercise I needed to decompose the Jordan form of a complex matrix into nilpotent and diagonalizable parts, and also explain why they commute. The decomposition is trivial since strictly triangular matrices are nilpotent, but I don't see - why do these matrices commute?
2026-03-27 12:31:46.1774614706
Why do the nilpotent and diagonalizable parts commute?
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