MATLAB: I am trying to apply the steps attached to the pdf file into the code

determinantlup decomposition

1.I am having trouble trying to put the steps attached to the pdf file into my matlab code.
2. After translating the steps from the pdf file I would have to put this into command window in order to generate my answer:
>> rand('seed',1)
>>A=rand(10,10);
>>d=my_det(A)
>>dd=det(A)
>>abs(d-dd)/abs(dd)
3. lu_fac_pp(A) is another function i am calling witin this code.
function d = my_det(A)
n = size(A,1);
p=(1:n)';
tr = zeros(1,n);
s=0;
[L, U, p]= lu_fac_pp(A)
for k = 1:n-1
if A(n,n) == 0
det(A)=0;
end
[r m]=max(abs(A(k:n,k)));
m=m+k-1;
if (A(m,k)~=0)
if (m~=k)
A([k m],:)=A([m k],:);
p([k m])=p([m k]);
end
i=k+1:n;
A(i,k)=A(i,k)/A(k,k);
j=k+1:n;
A(i,j)=A(i,j)-A(i,k)*A(k,j);
end
end
if A(n,n) ==0
disp('A is not invertible');
return
end
L=tril(A,-1)+eye(n,n);
U=triu(A);
end

Best Answer

Your function starts with
function d = my_det(A)
but, nowhere within it is there any calculation of d, so the function doesn't return anything.