
 a) Verify with numeric applications, 
    some basic properties and theorems V. 
    
 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 the functions :
    2) The matrices are declared in main() :
    3) Work with Dev-C++4 and  DJGPP 2.03,
        with your compiler I don't know.
 
    Try the examples in this order.

                           Let A be a fixed m x n matrix.
                        Find all m x 1 matrices b such that
                   the system of equation Ax = b is consistent :
                   *******************************************

   syscgssf.exe   syscgssi.exe : gaussjordan.
   syscinvi.exe   syscinvi.exe : inverse.


                    Symmetric matrices :
                    ******************

   syminvf.exe    syminvi.exe  : Inverses of symmetric matrices are symmetric :


                     Diagonal matrices :
                     *****************

   adiagaf.exe   adiagai.exe   :   Compare (Diag*A) and (A*Diag) 
  invdiagf.exe  invdiagi.exe   :   Inverse of diagonal matrices
  powdiagf.exe  powdiagi.exe   :   Power of diagonal matrices


                     Triangular matrices :
                     *******************

  triginvf.exe  triginvi.exe   :   Inverse of triangular matrices
   trigabf.exe   trigabf.exe   :   Multiply triangular matrices

                      Trace :
                      *****

  traplsbf.exe  traplsbf.exe   :   Trace(mA+B) = Trace(A)+Trace(B)
     trabf.exe     trabf.exe   :   Trace (AB)  = Trace(BA)





