On certain matrices related to the Cauchy and Toeplitz matrices

Autores

  • Sajad Salami Institute de Estatística e Matemática Universidade Estatual do Rio de Janeiro

DOI:

https://doi.org/10.12957/cadmat.2022.67104

Palavras-chave:

Determinante e posto de matrizes, matrizes não singulares, matrizes de Cauchy, Hilbert e Toeplitz

Resumo

In this paper, we introduce a new class of matrices with no singular sub-matrices over a field of arbitrary characteristics. To do this end, we first compute the determinant of a certain type of square matrices, which are related to the well-known Cauchy, Toeplitz, and Hilbert matrices in a special case. It is also shown that all of the minors of those matrices have full rank. Then, applying our results, we determine the rank of a newly introduced class of matrices under study.

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Publicado

2024-07-30

Como Citar

Salami, S. (2024). On certain matrices related to the Cauchy and Toeplitz matrices. Cadernos Do IME - Série Matemática, (18), 1–12. https://doi.org/10.12957/cadmat.2022.67104

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