Arabian Journal of Mathematics

, Volume 7, Issue 2, pp 91–99 | Cite as

On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices

Open Access


We show that the characteristic polynomial of a symmetric pentadiagonal Toeplitz matrix is the product of two polynomials given explicitly in terms of the Chebyshev polynomials.

Mathematics Subject Classification

15B05 65F40 33C45 



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© The Author(s) 2017

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Classes Préparatoites aux Grandes Ecoles d’IngénieursTangierMorocco

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