### Abstract

In this work, we present and prove the explicit formula for the determinant of a class of (Formula presented.) nonsymmetric Toeplitz matrices. Setting up one of the nonzero subdiagonals to zero results in special pentadiagonal Toeplitz matrices, whose determinant formulas are conjectured by Anđelić and Fonseca in Anđelić [Some determinantal considerations for pentadiagonal matrices. Linear Multilinear Algebra. 2020. DOI:10.1080/03081087.2019.1708845]. By using the explicit formula with this setting, the conjectures are therefore proved.

Original language | English |
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Journal | Linear and Multilinear Algebra |

DOIs | |

Publication status | Accepted/In press - 2020 |

### Keywords

- Determinant
- Toeplitz matrices

### ASJC Scopus subject areas

- Algebra and Number Theory

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## Cite this

Kurmanbek, B., Amanbek, Y., & Erlangga, Y. (Accepted/In press). A proof of Anđelić-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization.

*Linear and Multilinear Algebra*. https://doi.org/10.1080/03081087.2020.1765959