  Pasting and Reversing operations have been used successfully over the set of
integer numbers, simple permutations, rings and recently over a generalized
vector product. In this paper, these operations are defined from a natural way
to be applied over vector spaces. In particular we study Pasting and Reversing
over vectors, matrices and we rewrite some properties for polynomials as vector
space. Finally we study some properties of Reversing through linear
transformations as for example an analysis of palindromic and antipalindromic
vector subspaces.
