From your description of the question, I've tried to replicate the scenario with a bunch of simpler matrices. Have a look at this code:
mat1 = ["a", "b"; "c", "d"];
mat2 = ["e", "f"; "g", "h"];
out = mat1 + mat2;
Since you weren't clear as to how you want to display your outputs, I assumed you might want to hold them in a matrix like out.
Hope this helps!