Pasting and Reversing Approach to Matrix Theory
Primitivo B. Acosta-Hum\'anez, Adriana L. Chuquen
TL;DR
This paper explores matrix theory using Pasting and Reversing operations, introducing new linear mappings for palindromic and antipalindromic matrices, and summarizes existing results in this area.
Contribution
It introduces novel linear mappings called Palindromicing and Antipalindromicing, expanding the understanding of palindromic structures in matrices.
Findings
Defined new linear mappings for palindromic matrices
Established properties of Pasting and Reversing in matrix theory
Identified new sets of matrices with palindromic properties
Abstract
The aim of this paper is to study some aspects of matrix theory through Pasting and Reversing. We start giving a summary of previous results concerning to Pasting and Reversing over vectors and matrices, after we rewrite such properties of Pasting and Reversing in matrix theory using linear mappings to finish with new properties and new sets in matrix theory involving Pasting and Reversing. In particular we introduce new linear mappings: Palindromicing and Antipalindromicing mappings, which allow us to obtain palindromic and antipalindromic vectors and matrices.
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