6663b6c9
 adorian
projet complet av...
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(M)->
{ local pivo,jc,k,j,nl,nc,temp,l,a,noyau;
nl:=nrows(M);
nc:=ncols(M);
jc:=0;
while((jc<nc) && (jc<nl)){
k:=jc;
while(((M[k,jc])==0) && (k<(nl-1))){
k:=k+1;
};
if ((M[k,jc])!=0) {
pivo:=M[k,jc];
for (l:=jc;l<nc;l:=l+1) {
temp:=M[jc,l];
M[jc,l]:=M[k,l];
M[k,l]:=temp;
};
for (l:=0;l<nc;l:=l+1) {
M[jc,l]:=(M[jc,l])/pivo;
};
for (k:=0;k<jc;k:=k+1) {
a:=M[k,jc];
for (l:=0;l<nc;l:=l+1) {
M[k,l]:=M[k,l]-M[jc,l]*a;
};
};
for (k:=jc+1;k<nl;k:=k+1) {
a:=M[k,jc];
for (l:=jc;l<nc;l:=l+1) {
M[k,l]:=M[k,l]-M[jc,l]*a;
};
};
}
else {
if (jc<(nc-1)) {
for (j:=nl;j>jc;j:=j-1) {
M[j]:=M[j-1];
};
M[jc]:=makelist(0,1,nc);
nl:=nl+1;
};
};; ;
jc:=jc+1;
if ((jc==nl) && (jc<nc)) {
M[nl]:=makelist(0,1,nc);
nl:=nl+1;
};
};
noyau:=[];
M:=M-idn(nc);
for (j:=0;j<nc;j:=j+1) {
if ((M[j,j])==(-1)) {
noyau:=append(noyau,tran(M)[j]);
};
};
return(noyau);
}
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