# On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices

Arabian Journal of Mathematics, Dec 2017

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.

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Mohamed Elouafi. On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices, Arabian Journal of Mathematics, 2017, 1-9, DOI: 10.1007/s40065-017-0194-0