multiply matrices and sum the result

Hi,

I want to multiply two different matrices and sum the result It is a neighborhood analysis.for matrix x every row is an area and every column is an action occurs (for area 1, action is at period 4). so area 1 and 3 happens at the same time. if area 1 and 3 are neighbor it should be multiply (at least i think multiplying would give the result) and results will be 1 or 0 if they are not neighbour and sum ( basically count how many of them are neighbor and action occurs same period. for matrix y each column and row is area if they are neighbor it's 1 otherwise 0.

Here is my matrices:

x=[0  0  0  1
   1  0  0  0
   0  0  0  1
   0  1  0  0
   0  0  1  0]

y=[0     0     0     0     0
   1     0     0     0     0
   1     1     0     0     0
   0     1     0     0     0
   0     1     1     1     0]

Answer 1

[Image Analyst]

I'm not sure what it means to "be neighbors". Does that mean a 1 in row "r" can have neighbors only if they occur in row "r-1" or "r+1"? It's also not clear to me how y was created and why it has 5 columns instead of 4. Can you go through how that was constructed?