MATLAB: Unable to correctly identity type of stochastic.

homework

I'm working on code to identify the type of stochastic (ex: double, left, or right). I got the code to run but the output is incorrect.
>>  A=[0.5, 0, 0.5; 0, 0, 1; 0.5, 0, 0.5] 
A =
    0.5000         0    0.5000
         0         0    1.0000
    0.5000         0    0.5000
>> P=stochastic(A)
Matrix A is a doubly %Not a double
P =
    0.5000         0    0.5000
         0         0    1.0000
    0.5000         0    0.5000
Here is the code.
w=1:rows
k=1:columns
  if (sum(A(w,:) == 1)&&(sum(A(:,k)) ==1))
                disp('Matrix A is a double')
                P=A;
             break;
Any advice/help?

Best Answer

tol = 1E-5;
sdown = all(abs(sum(A,1) - 1) < tol);
sside = all(abs(sum(A,2) - 1) < tol);
if sdown && sside
  disp('two')
elseif sdown
  disp('vertical')
elseif sside
  disp('horizontal')
else
  disp('Yes we have no stochasticism, we have no stochasticism today!')
end
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