Explicit determinantal formula for a class of banded matrices

Affiliations

Amanbek Yerlan: Nazarbayev University, Department of Mathematics, 53 Kabanbay Batyr Ave., Nur-Sultan, 010000, Kazakhstan
Du Zhibin: School of Software, South China Normal University, Foshan, Guangdong 528225, China
Erlangga Yogi: Zayed University, Department of Mathematics, Abu Dhabi Campus, P.O. Box 144534, Abu Dhabi, United Arab Emirates
da Fonseca Carlos M.: Kuwait College of Science and Technology, Doha District, Block 4, P.O. Box 27235, Safat, 13133, Kuwait
Kurmanbek Bakytzhan: Nazarbayev University, Department of Mathematics, 53 Kabanbay Batyr Ave., Nur-Sultan, 010000, Kazakhstan
Pereira António: Departamento de Matemática, Universidade de Aveiro, Aveiro, 3810-193, Portugal

Abstract

In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.