MATLAB: Add a diagonal of zeros to a matrix in MATLAB

diagonalmatrix

Let 
M1 = [ 1 2 3 4 
         2 5 4 2  
         3 4 5 1 
         4 2 1 2 ]
a diagonal matrix.
I want to add a diagonal of zeros where 
M1'=  [ 0 1 2 3 4 
       1 0 5 4 2   
       2 5 0 5 1  
       3 4 5 0 2  
       4 2 1 2 0 ]
So I keep the original matrix and just add the diagonal of zeros. So size(M1) = (4×4) ans size (M1')=(5×5)
I tried "
M1' = [tril(M1,-1) zeros(N, 1)] + [zeros(N,1) triu(M1)];
" But this won't work because it changes the diagonal of the original matrix.

Best Answer

You can use a loop like this:
M1 = [ 1 2 3 4 
         2 5 4 2  
         3 4 5 1 
         4 2 1 2 ];
N=size(M1,1);
M2=zeros(N+1,N+1);
for i=0:N-1
    M2 = M2 + diag(diag(M1,-i),-i-1)+ diag(diag(M1,i),i+1);
end
M2
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