\def{integer n=randint(3..5)}
\def{integer j=randint(1..\n)}
\def{matrix A=pari(matrix(\n,\n,i,j,(2*RANDOM(2)-1)*(RANDOM(5)+1)))}
\def{text u=wims(values x for x = 1 to \n)}
\def{text U=wims(replace item number \j by  in \u)}
\def{text U =wims(nonempty items \U)}
\def{text X=item([1..\n],ggg,fff,eee,ddd,ccc,bbb,aaa)}

\def{text R=pari(A=Mat([\A]); X=[\X];sum(i=1, \n,  (-1)^(i+\j) * A[i,\j] * X[i]))}

\def{text R=maxima(\R)}

\for{i = 1 to \n}{
  \def{text v=wims(replace item number \i by  in \u)}
  \def{text v =wims(nonempty items \v)}
  \def{text C=pari(A=Mat([\A]);B=vecextract(A,[\v],[\U]);
   print(B))}
  \def{text C=slib(text/matrixtex [\C],lvert,rvert)}
  \def{text R=wims(replace internal \X[\i] by  \(\C)  in \R)}
}
\def{text R=wims(replace internal * by in \R)}
\def{text Adet=slib(text/matrixtex [\A],lvert,rvert)}
\reload{<img src="gifs/doc/etoile.gif" alt="rechargez" width="20" height="20">} 
Dans l'exemple ci-dessus, par rapport  quelle colonne  a-t-on dvelopp ?  
<center>\(\Adet) = \R</center>