How to write matrix elements with its position?

I have a matrix A=[1 2 3; 4 5 6; 7 8 9] I want to write each entry with its row and column position e.g 111 indicates the element 1 at position first row First column , also 328 element 8 at position 3rd row and second column. so with the help of above matrix

 A I want the following
111
122
133
214
225
236
317
328
339

Thanking for the anticipation.

[Guillaume]

While it's very easy to do what you want, what is its purpose? Bearing in mind that if you don't limit A to integers [0-9] and its size to a max of 9 rows and 9 columns, then the operation is irreversible.

What would the value 1234 mean?

• 1st row, 2nd column, value 34?
• 12th row, 3rd column, value 4?
• 1st row, 23rd column, value 4?

Answer 1

[Birdman]

[r,c]=find(A);
val=sortrows([r c A(:)],1)

[Guillaume]

That will fail if any value in A is 0.

[r, c] = find(true(size(A));
val = sortrows([r c A(:)],1)

would be safer.

Or:

[c, r] = ndgrid(1:size(A, 2), 1:size(A, 1));
val = [r(:), c(:), a(:)];

[Birdman]

Thanks.

Answer 2

[Domanic]

Or ind2sub:

A = [1 2 3; 4 5 6; 7 8 9].';
[a,b] = ind2sub(size(A),1:numel(A));
fprintf('%d%d%d\n',[b.' a.' A(:)].')

[Ammy]

Thanks a lot .

Answer 3

[Jan]

What about loops?

A = [1 2 3; 4 5 6; 7 8 9];
[s1, s2] = size(A);
for i1 = 1:s1
  for i2 = 1:s2
    fprintf('%d%d%g\n', i1, i2, A(i1, i2));
  end
end

[Ammy]

Thank you very much, this code really work