Turkish Journal of Mathematics
DOI
-
Abstract
In [1], [2] and [6] the maximum number of some special type n x n matrices with elements in F whose nontrivial linear combinations with real coefficients are nonsingular is studied where F is the real field R, the complex field C or the skew field H of quaternions. In this work we construct such matrices explicitly by using representations of Clifford algebras. At the end we give some analogues of the celebrated theorem of Radon-Hurwitz.
Keywords
Hurwitz Theorem, Clifford algebras, maximum independent set of matrices
First Page
193
Last Page
205
Recommended Citation
DEĞİRMENCİ, NEDİM and ÖZDEMİR, NÜLİFER (2007) "The Construction of Maximum Independent Set of Matrices via Clifford Algebras," Turkish Journal of Mathematics: Vol. 31: No. 2, Article 7. Available at: https://journals.tubitak.gov.tr/math/vol31/iss2/7
