Advances and Applications in Discrete Mathematics
Volume 27, Issue 2, Pages 157 - 172
(July 2021) http://dx.doi.org/10.17654/DM027020157 |
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FERMAT-SYLVESTER-KAC MATRIX
Wenjie Hu, Yanpeng Zheng and Zhaolin Jiang
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Abstract: In this paper, we discuss determinants, inverses and eigenvalues of Sylvester-Kac matrix with Fermat numbers. We give methods for computing the characteristic polynomial and eigenvalues of this matrix by reducing the order. The formulas for its determinant and inverse are also given. |
Keywords and phrases: Sylvester-Kac matrix, determinant, inverse, eigenvalue, Fermat number.
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