A1: width M2 = n by MATRIX_0:24;
width M1 = n by MATRIX_0:24;
then ( len (M1 + M2) = len M1 & width (M1 + M2) = width M2 ) by A1, MATRIX_3:def 3;
hence M1 + M2 is n,n -size by A1, MATRIX_0:24, MATRIX_0:51; :: thesis: verum