“Ella-matrix” comes from Ellamy and Matrix:
Ellamy = L.M.E., my initials and altogether my future daughter’s name, who I will consider an extension of myself. I want my future daughter to take all the best parts from me, none of the bad things that I don’t like about myself and from there grow into a beautiful individual. Keeping that in mind, this is how I view my future self. I want my identity to be made up of all the good things from the former self, and from there I want to blossom into a learned, independent, young woman.
Dictionary definition of Matrix:
1. Something that constitutes the place or point from which something else originates, takes form, or develops
2. (Its biology definition) the intercellular substance of a tissue
Hence the Ellamatrix.