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The Construction Of Maximum Independent Set Of Matrices Via Clifford Algebras, Nedi̇m Deği̇rmenci̇, Nüli̇fer Özdemi̇r
The Construction Of Maximum Independent Set Of Matrices Via Clifford Algebras, Nedi̇m Deği̇rmenci̇, Nüli̇fer Özdemi̇r
Turkish Journal of Mathematics
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.