Spaces of skew-symmetric matrices satisfying A(3) = lambda A

Ozdemir Y.

LINEAR ALGEBRA AND ITS APPLICATIONS, vol.438, no.3, pp.1365-1371, 2013 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 438 Issue: 3
  • Publication Date: 2013
  • Doi Number: 10.1016/j.laa.2012.10.007
  • Journal Name: LINEAR ALGEBRA AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1365-1371
  • Keywords: Skew-symmetric matrix, Maximal linear subspace, Radon-Hurwitz number, REAL LINEAR COMBINATIONS
  • Anadolu University Affiliated: Yes

Abstract

We calculate the maximum dimension of a space of m x m real skew-symmetric matrices of corank 1 satisfying A(3) = lambda(A)A for some real lambda(A) > 0. (c) 2012 Elsevier Inc. All rights reserved.