Advances and Applications in Discrete Mathematics
Volume 24, Issue 1, Pages 13 - 25
(May 2020) http://dx.doi.org/10.17654/DM024010013 |
|
TWO TYPES OF INTERESTING FIBONACCI-MIN MATRICES
Yanhui Liu, Zhaolin Jiang, and Xiaoyu Jiang
|
Abstract: In this paper, we study the determinants, inverses and eigenvalues of two symmetric matrices with Fibonacci numbers as elements. Besides, we use the explicit inverse matrices to solve the linear equations with these matrices as coefficient matrices, and give general formulas. Finally, we propose two algorithms to calculate the product of above matrices and any vector. |
Keywords and phrases: symmetric matrix, Fibonacci number, determinant, inverse, eigenvalue, system of linear equations.
|
|
Number of Downloads: 223 | Number of Views: 700 |
|