Products of nilpotent matrices

Robert Sullivan

    Research output: Contribution to journalArticle

    2 Citations (Scopus)


    In 1975, Paul Halmos asked: when can a square matrix be written as a product of nilpotent matrices? This was answered indirectly by Sourour in 1992: if n >= 3 then any n x n singular matrix can be written in this way. In this article, we determine the best possible index for the nilpotents in such a product, and compare our work on linear transformations of a vector space with analogous results for transformations of a set.
    Original languageEnglish
    Pages (from-to)311-317
    Issue number3
    Publication statusPublished - 2008

    Fingerprint Dive into the research topics of 'Products of nilpotent matrices'. Together they form a unique fingerprint.

  • Cite this