Open AccessGenerating Matrices and Fibonacci-Like Numbers
Author(s) -
R. Sivaraman
Publication year - 2021
Publication title -
türk bilgisayar ve matematik eğitimi dergisi
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.218
H-Index - 3
ISSN - 1309-4653
DOI - 10.17762/turcomat.v12i2.2325
Subject(s) - fibonacci number , fibonacci polynomials , pisano period , limiting , mathematics , sequence (biology) , combinatorics , lucas number , arithmetic , discrete mathematics , chemistry , mechanical engineering , biochemistry , engineering , orthogonal polynomials , difference polynomials
Among several classes of interesting numbers, Fibonacci numbers plays a significant role and these numbers very often turns up in several branches of Science, Engineering and Technology. Considering two by two square matrices whose entries are Fibonacci and Fibonacci like sequence numbers, we investigate the integral powers of such matrices and prove interesting results concerning them. Finally, the limiting cases of entries of nth power of such matrices are derived.