In this paper, we study a new Sylvester-Kac matrix with Gaussian Fibonacci numbers, i.e., Gaussian Fibonacci-Sylvester-Kac matrix. We not only propose two recurrence algorithms for finding the characteristic polynomial of the new matrix but also compute its determinant and the inverse.

determinant, inverse, characteristic polynomial, Gaussian Fibonacci number, Sylvester-Kac matrix.

Received: March 2, 2021; Revised: April 3, 2021; Accepted: April 12, 2021; Published: June 28, 2021

How to cite this article: Zhenyu Guo, Yanpeng Zheng and Zhaolin Jiang, On Gaussian Fibonacci-Sylvester-Kac matrix, JP Journal of Algebra, Number Theory and Applications 51(1) (2021), 27-40. DOI: 10.17654/NT051010027

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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