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

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

Answer 1

[Alan Stevens]

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.