Plot the numbers of a matrix as points (dots) in a plot

I want to plot the numbers of a matrix as points (dots) in a plot. For example if I have matrix A:

 1     0     5     7
 3     0     8     4
 6     4     5     2

How can I plot it as a whole by having each number of the matrix as a point in the plot?

I mean:

in the position i,j=1,1 where is the number 1 give me 1 dot in the plot at position i,j=1,3 where is number 5 give me 5 dots in the plot at position i,j=3,2 where is number 4 give me 4 dots in the plot and so on. What I want to do is when I have a matrix let’s say 4X3 or 5X8 or in general mXn then I want to create a mXn grid by plot there, any element of the matrix with points. For instance if I have A=[1 2 3 4;5 6 7 8;0 2 3 23] (a 4X3 matrix) how can I create a 4X3 grid in a plot which any number of the matrix appearing in the plot with dots, as an example at the position i,j=1,1 which is the number one in the matrix I want to have 1 dot in the grid ,in the position i,j=3,4 where is the number 23 ,I want to see 23 dots in the grid.

Answer 1

[Mike Garrity]

Here's a really simple, but inelegant solution:

A=[1 0 5 7; 3 0 8 4; 6 4 5 2]
cla
axis ij
hold on
while any(A(:) > 0)
  [r,c] = find(A>0);
  offx = randn/10;
  offy = randn/10;
  scatter(c+offx,r+offy,'filled')
  A = A-1;
end

The inelegant part is that it doesn't do a good job of laying out the dots relative to each other. I'll leave that as an exercise for the reader, as they say. The problem is that a nice layout depends on the number of dots, so it's hard to do a good job while processing all of the dots together. My personal favorite layout would be Brent Yorgey's factorization diagrams .

[Ang Vas]

thank you so much for your help , it's all lost what I was looking for!!!

[Ang Vas]

It was all most what i was looking for. The problem that I have with this, is that I can't take the x,y coordinates of each point. I thought that it might be xcoordinates=c+offx and ycoordinates=r+offy and I tried to convert the code in order to have the coordinates like

A=[1 0 5 7; 3 0 8 4; 6 4 5 2]
%%cla
axis ij
hold on
while any(A(:) > 0)
  [r,c] = find(A>0);
  offx = randn/10;
  offy = randn/10;
  scatter(c+offx,r+offy,'filled')
  xcoordinates=c+offx
  ycoordinates=r+offy
  xy=[xcoordinates;ycoordinates]
  A = A-1;
end

but I don't get what I was looking for. I expect to took 45 pairs of numbers (xcoordinates,ycoordinates) as is the numbers of the dots from the matrix A but I unfortunately I din't. Any Ideas !!!

[Walter Roberson]

"A = A - 1" subtracts 1 from every element of A. So the first subtraction would take A to [0 -1 4 6; 2 -1 7 3; 5 3 4 1]. Clearly after a total of 8 iterations you would have [-7 -8 -3 -1; -5 -8 0 -4; -2 -4 -3 -6] and then there would be no entries in A that were positive and the while() would stop.