function [Matrix, Vector, x] = backSubstitutionPhase(Columns, Matrix, Vector) for i3 = Columns : -1 : 1 E = 0; for iter = i3+1 : Columns E = E + Matrix(i3,iter) * x(iter,1); end % end for x(i3, 1) = (Vector(i3,1) - E) / Matrix(i3,i3); end % end for end % end function