Turkish Journal of Mathematics
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.
DOI
-
Keywords
Hurwitz Theorem, Clifford algebras, maximum independent set of matrices
First Page
193
Last Page
205
Recommended Citation
DEĞİRMENCİ, N, & ÖZDEMİR, N (2007). The Construction of Maximum Independent Set of Matrices via Clifford Algebras. Turkish Journal of Mathematics 31 (2): 193-205. https://doi.org/-