       
   to find the other packages : http://www.simtel.net/
              The news groups : http://groups.yahoo.com/group/mathc/
      
      Sources : 
      *******   

   Presentation of the function.
   ============================    
            
   matrxf.zip : You can work with fractions.

               addm, subm, multm, powm, smultm, transpose, trace,
               det, minor, mminor, cofactor, mcofactor, adjoint,
               inverse, inverse(gaussjordan), gauss, gaussjordan.

   matrxg.zip : You can also work with integers.
   matrxh.zip : Useful Functions.
   ...          ...

   The coefficients, integers or fractions, 
   are  randomly  selected by the computer.
   ========================================
   In this section, the size of the matrices, 
   are randomly selected by the computer, 
   but you can selecte the size if you want                
   ========================================

                Verify with numeric applications :
                --------------------------------

   mtrxaa.zip : How to use the basic functions.

   mtrxab.zip : the properties of matrix arithmetic.
                       
                                 A+B = B+A          
                             (A+B)+C = A+(B+C)
                               (AB)C = A(BC)
                              A(B+C) = AB+AC
                              (B+C)A = BA+CA
                              A(B-C) = AB-AC
                              (B-C)A = BA-CA
                              a(B+C) = aB+aC
                              a(B-C) = aB-aC
                              (a+b)C = aC+bC
                              (a-b)C = aC-bC
                               a(bC) = (ab)C
                                           

   mtrxac.zip : * The properties of zero matrices.
                * The properties of the transpose.
                * The theorem of transpose.
                * The theorem of inverse matrices.  
                                     
   mtrxad.zip : * (A+B)**2.
                * (A-B)**2.
                * (A-B) (A+B).
                * Power and inverse.
                * Symetric and Skew-Symetric matrices.   
                                    
   mtrxae.zip : * Solving linear systems by matrix inversions.
                * Linear systems with common coefficient matrix.                                      
   mtrxaf.zip : * The system of equation Ax = b is consistent.
                * Inverses of symmetric matrices.
                * Power, inverse of diagonal matrices
                * Multiply, inverse of triangular matrices.
                * Trace property. 
                                       
   mtrxag.zip : the value of the determinant of 
                * a diagonal matrix
                * a triangular matrix (upper, lower)
                * a basic matrix.                                      
   ...            ...
 
                Application.
                ===========

   mtrxic.zip : Identity matrix application   I
                * Swap two rows.                                       
                * The pivot value.                                    
                * Eliminate the coefficient below, above, the pivot.  
                * Gauss Jordan elimination with the help of the identity matrix.
                * Inverse of the matrix    with the help of the identity matrix.
       
   mtrxid.zip : Identity matrix application  II
                * The work on a column in one step.                  
                * All the values below the pivot in one step.         
                * Application : Gauss  elimination.        
                * All the values above the pivot in one step.        
                * Application : Gauss Jordan elimination
                * Application : Inverse of the matrix

   mtrxgo.zip :  Geometric application.
                * Find the coefficients of a polynome, 
                  that passes through three, four, five points.    
                * Find the coefficients a, b, c, d, e of a conic,
                  ax**2 + by**2 + cx + dy + e  = 0 
                  that passes through  four points.  
                * Find the coefficients a, b, c, d  of a circle,
                  a(x**2 + y**2) + bx + cy + d  = 0   
                  that passes through  three points. 
 
   mtrxch.zip : Chemistry application.
                * Find the coefficients of a chemical equation.

   mtrxsy.zip : Resolve some nonlinear systems of equations.


     Programs :
     ********

     xbaa.zip : add, substract, multply, inverse, ... some matrices.

     xbab.zip : Verify, the properties of matrix arithmetic I.
     xbac.zip : ...                                         II.
     xbad.zip : ...                                         III.
     xbae.zip : ...                                         IV.
     xbaf.zip : ...                                         V.
     
