C-Matrix-Solver

Written in C++ Solves classic A.x = b with given A and b
This program gives the result of A*x=B matrix equation.Assuming A is invertible(non-singular) and square

1. Search cmd.exe (It should be in C:\Windows\System32)
2. copy cmd.exe to same location with cpp file
3. open cmd.exe
4. drag and drop cpp file on cmd.exe
5. Press enter(devC++ should be open)
6. press F9 to compile file
7. Now you need 2 txt files(one for A matrix and one for b matrix) to safely run the program
8. drag and drop compiled exe file on cmd.exe
9. Type " filename_of_A.txt filename_of_b.txt" on the command line
   if filename_of_A.txt is A and filename_of_b.txt is b
   your command should like this
   ...Directory of cpp file..>"...Directory of cpp file\MehmetAlpSarkisla_project.exe" A.txt b.txt
10. Press enter and run the program
11. If everything done correctly you should see
    argv[1] = A.txt
    argv[2] = b.txt
    A.txt is open.
    b.txt is open.
    3.14 1.59 2.65 3.58
    9.79 3.23 8.46 2.64 <-----A matrix
    3.38 3.27 9.5 2.88
    4.19 7.16 9.39 9.37

0.793276
-1.68867
-0.060839 <------x matrix(solution)
1.52383

• You can also see the x matrix in solution.txt
• This program also find contional numbers at 1 and infinity for 2x2 matrices
  example:
  A:
  1.000 1.000
  1.000 1.001
  b1: b2:
  2.000 2.000
  2.000 2.001
  x1: x2:
  2.000 1.000
  0.000 1.000

condition num at 1:4002
condition num at inf:4002

Large cond(A) means A is nearly singular
It express how sensitive that function is to small changes.
As you can see in example;for large condition number, 0.001 change results with drastic errors.