function x = gausspivot(A,b)

% GAUSSPIVOT: x = gausspivot(A,b):
%   Gauss elimination without pivoting.
% input:
%   A = coefficient matrix
%   b = right hand side vector
% output:
%   x = solution vector

[m,n]=size(A);
if m~=n,
   error('Matrix A must be square');
end

% Create augmented matrix ....

nb=n+1;
Aug=[A b];

% Forward elimination

for k = 1:n-1

  % Row operations with partial pivoting

  abs(Aug(k:n,k))

  [big,i] = max(abs(Aug(k:n,k)))
  ipr=i+k-1;
  if ipr~=k
    Aug([k,ipr],:)=Aug([ipr,k],:);
  end
  for i = k+1:n
    factor=Aug(i,k)/Aug(k,k);
    Aug(i,k:nb)=Aug(i,k:nb)-factor*Aug(k,k:nb);
  end

  % Display augmented matrix ...

  fprintf('Augmented Matrix: Column %2d\n', k );
  disp(Aug);
end

% Back substitution

x=zeros(n,1);
x(n)=Aug(n,nb)/Aug(n,n);
for i = n-1:-1:1
  x(i)=(Aug(i,nb)-Aug(i,i+1:n)*x(i+1:n))/Aug(i,i);
end