
 a) Verify with numeric applications, 
    the properties of the determinant. 
    
 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.
 
    Try the examples in this order.

       dc0f.c     dc0i.c  :  If A has a column of zeros det(A) = 0
       dr0f.c     dr0i.c  :  If A has a row    of zeros det(A) = 0

    dtrposf.c  dtrposi.c  :  det(A) = det(TrposA)

                             If A has a zero on its diagonal det(A) = 0,
    ddiag0f.c  ddiag0i.c  :  Diagonal matrices.
   dltri0ff.c dltri0fi.c  :  Lower Triangular matrices.
   dutri0ff.c dutri0fi.c  :  Upper Triangular matrices.
                      
                             The determinant of,
     ddiagf.c   ddiagi.c  :  a diagonal matrix,
     dltrif.c   dltrii.c  :  a lower    matrix,
     dutrif.c   dutrii.c  :  a upper    matrix.

                             If B is the matrix that results when,
     dkcolf.c   dkcoli.c  :  a single column of A is multiplied by k, then det(B) = k det(A),
     dkrowf.c   dkrowi.c  :  a single row    of A is multiplied by k, then det(B) = k det(A).

                            If B is the matrix that results when,
    drow12f.c  drow12i.c  : two rows    are interchanged then det(B) = - det(A)
    dcol12f.c  dcol12i.c  : two columns are interchanged then det(B) = - det(A)








       