% Is a matrix diagonally dominant?
% CONVERT THIS TO A FUNCTION exactly ASKED FOR in the problem statement
clc
A=[7.1  3  4; 4  -10  6;  12   12  24]
% size of matrix
n=length(A)

% countg used as a counter as for how many rows the inequality is met
% strictly, that is only greater than is allowed
countg=0

% countg used as a counter as for how many rows the inequality is NOT met
% strictly, that is greater than equal to is allowed
countge=0

for i=1:1:n
% finding the right hand side of the inequality
    sum=0
    for j=1:1:n
        if i~=j 
            sum=sum+abs(A(i,j))
        end
    end

% Comparing the LHS and RHS of strict inequality
  if abs(A(i,i))>sum
   countg=countg+1
  end
% Comparing the LHS and RHS of not strict inequality
  if abs(A(i,i))>=sum
   countge=countge+1
  end
end

% If the strict inequality is satisfied for at least one row and the inequality for all the rows, 
% then the matrix is diagonally dominant, else it is not diagonally dominant.
if countg>=1 & countge==n 
    fprintf('Diagonally dominant')
else
    fprintf('Not diagonally dominant')
end