Matrix Science Mathematic (MSMK)

A NEW FIBONACCI MATRIX DEFINITION AND SOME RESULTS

April 24, 2024 Posted by Basem In MSMK

ABSTRACT

A NEW FIBONACCI MATRIX DEFINITION AND SOME RESULTS

Journal: Matrix Science Mathematic (MSMK)
Author: Mehmet Pakdemirli

This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.01.2024.09.11

A new definition of the Fibonacci Matrix is given. The elements of the matrix consist of the Fibonacci numbers. First a preliminary knowledge on Fibonacci sequences and their properties are given. Then the new definition of the matrix is given together with some properties. The difference from the common definition is also discussed. The determinant of the matrix and its properties are posed and proven. Applications to systems of algebraic equations are also outlined.
Pages 09-11
Year 2024
Issue 1
Volume 8

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