  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.
