Singular spaces of matrices and their application in combinatorics

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37 Citations (Scopus)

Abstract

We study linear spaces of n×n matrices in which every matrix is singular. Examples are given to illustrate that a characterization of such subspaces would solve various open problems in combinatorics and in computational algebra. Several important special cases of the problem are solved, although often in disguise.

Original languageEnglish
Pages (from-to)87-99
Number of pages13
JournalBoletim da Sociedade Brasileira de Matemática
Volume20
Issue number1
DOIs
Publication statusPublished - Oct 1 1989

ASJC Scopus subject areas

  • Mathematics(all)

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