@tomleslie 

Thank very much you for answer.

I think the code will help me. Do you Know how can put all in one matrix?

i.e [M1,M2,....]

@John Fredsted 

Thank very much you for answer.

I think the code will help me. But when I tried to find f(4,4) or f(8,8) I didn't get a matrix like f(2,2). Do Know what the problem?.

@Kitonum 

Thank you for your answer.

This code can't help me because I am not looking for summing. I want expand the perivious  formula as I did for one dimension.
 

Download loop_of_one_variable.mw

@nm 

I want expand the formula for i& j, i.e. i=j:=1 to 10, where m, n are fixed number (say m=n=10)

@Carl Love 

Thanks a lot for your reply and explain, I add the command it is run but the results, not in stander matrix form.

Also, the product ( last step) don't give an answer. I do another programme but in small size , it is doing well.

Thank  you again 

 d1for_n=20.mw

doing_well.mw

@PascalQM 

Thanks a lot for your reply, I remove the space but I have the same problem.

Download d1for_n=20.mw

@Axel Vogt 

L.Sn=10_R=23.5_(1).mw

@Axel Vogt 

Thank you very much for your answer, I checked the system I have 30 equation with 30 variable.

I don't intend Eq[1,1]=0.  

My problem I solved this system twice, just I change a number in Eq2. One of them gave   a solution but the other didn't give .

L.S_n=10_R=28_(1).mw   

@Carl Love 

Thank you very much for your reply , when I add the option complex I get a complex solution and I looking for a real solution . 

Thank you very much 

San. 

@Mac Dude 

Thank you for your reply,I don't Kown the exact solution for this system, just numerical solution. 

Acutely I solved this system twice , one of them I get a solution. I attached it here. 

So I don't What this mean ?!. Is this mean the system can't solve by own method ?.

L.S_n=10_R=28_(1).mw  

Thank you very much 

San.

@Kitonum

Thanks a lot for your help. 

I do the same process for another example, all steps run without use this command (interface...). But in this example,  the matrix inverse doesn't run. I don't Know why I use maple 18.

Here I attached the other  example. 

 another_example.mw

@acer 

Thanks a lot for your help 

@Kitonum 

I attached the file, please see it.

Thanks a lot

@Christopher2222 

I attached the file, please see it.

Thanks alot