
 a) Verify with numeric applications, 
    some basic properties and theorems I. 
    
 b) This is also an example of the use of the fonctions, 
    I have write.

 c) See your textbook, or ask to your teacher, if you do
    not know how to do the operations.

      Three versions :

    1) The matrices are declared in main() :
    2) The matrices are declared in the functions :
    3) Work with Dev-C++4 and  DJGPP 2.03,
        with your compiler I don't know.
 
    Try the examples in this order.


                  Solving linear systems by matrix inversions :
                  *********************************************

   invx1f.exe   invx1f.exe :  Ax=b1            => x = Inv(A)*b1


                  Linear systems with common coefficient matrix :
                  *********************************************

   Solving by matrix inversions (in several step) :
   ==============================================

   invx2f.exe   invx2f.exe :  Ax=b1            => x = Inv(A)*b1 
                              Ax=b2            => x = Inv(A)*b2

   invx3f.exe   invx3f.exe :  Ax=b1            => x = Inv(A)*b1 
                              Ax=b2            => x = Inv(A)*b2
                              Ax=b3            => x = Inv(A)*b3

   Solving by matrix inversions (in one step) :
   ==========================================

   invz2f.exe   invz2f.exe :  Ax = b1|b2       => x = Inv(A)*b1|b2 
   invz3f.exe   invz3f.exe :  Ax = b1|b2|b3    => x = Inv(A)*b1|b2|b3 
   invz4f.exe   invz4f.exe :  Ax = b1|b2|b3|b4 => x = Inv(A)*b1|b2|b3|b4


   Solving by GaussJordan elimination (in one step) :
   ================================================

   gausx2f.exe  gausx2i.exe :  GaussJordan  A|b1|b2
   gausx3f.exe  gausx3i.exe :  GaussJordan  A|b1|b2|b3
   gausx4f.exe  gausx4i.exe :  GaussJordan  A|b1|b2|b3|b4


