Skew-symmetric matrices and their principal minors

  title={Skew-symmetric matrices and their principal minors},
  author={Abderrahim Boussairi and Brahim Chergui},
Abstract In this article, we study the following problem. Given a positive integer k , what is the relationship between two matrices with entries in a field K and having equal corresponding principal minors of order at most k ? Our main theorem improves a result of Loewy [13] for skew-symmetric matrices all of whose off-diagonal entries are nonzero.