  In this document we study some local deformation properties of matrix
representations of the universal C$^*$-algebras denoted by
$\mathbb{I}^{m}_\varepsilon[p_1,\ldots,p_m]$ and
$\mathbb{S}^{m-1}_\varepsilon[p_1,\ldots,p_m]$, and that we call {\bf Semi-Soft
Cubes} and {\bf Semi-Soft Spheres} respectively.
  We will use some C$^*$-algebraic technology to study the local deformation
properties of matrix words in particular representations of Semi-Soft Cubes and
Spheres, we will then use these results to study the local deformation
properties of generic matrix equations on words.
  Some geometrical aspects of the local deformation of matrix words will be
addressed, and some connections with matrix numerical analysis and
computational physics will be outlined as well.
