Generating Matrices and Fibonacci-Like Numbers | Zendy

R. Sivaraman | Zendy

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Generating 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 , combinatorics , sequence (biology) , lucas number , lucas sequence , golden ratio , discrete mathematics , arithmetic , chemistry , mechanical engineering , biochemistry , engineering , orthogonal polynomials , difference polynomials , geometry

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.

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