
    
 a) Verify with numeric applications some properties. 
    
 b) The coefficients, are randomly selected by the computer.

 c) The size of the vectors, are randomly selected by the 
    computer, but you can select the size if you want.

 d) F : Fraction version.
    I : Integer  version.
    P : Polynomials.
    V : Column, Row Vectors.

   Try the examples in this order.

        * Linear combination in R**n                  :  lnearVI.c
        * Linear combination in Pn                    :  lnearPI.c  

        * Linear combination of two vectors in R**n   : lnear2RI.c
        * Linear combination of two vectors in Pn     : lnear2PI.c

        * Linear combination of three vectors in R**n : lnear3RI.c
        * Linear combination of three vectors in Pn   : lnear3PI.c

        * Vectors dependant or independant in R**n    : dpindpVF.c 
                                                        dpindpVI.c   
 
        * Vectors dependant or independant in Pn      : dpindpPF.c
                                                        dpindpPI.c  

        * Let S = {v1, v2, ... } be a basis of R**n.  :    ws_VI.c
          Find the coordinate vector of (w)s               ws_PI.c
 
        * Let S = {v1, v2, ...} be a basis of R**n.   :     w_VI.c   
          Let a vector(w)s.                                 w_PI.c
          Find the coordinate vector of w.              


