International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 8, Pages 457-469
doi:10.1155/S0161171201006858

A note on Fibonacci matrices of even degree

Abstract

This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field. The explicit construction of some 6-by-6 and 8-by-8 irreducible Fibonacci matrices is given.