6663b6c9
 adorian
projet complet av...
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[],
"Warning: some commands like subs might change arguments order",
0,0,0,1,0,1e-10,10,[1,50,0,25],0,0,0,
3,
x,
2,
2,
6,
1,
1,
[[1,1]],
[[3,0,0,0],[0,6,0,0],[0,0,18,0],[0,0,0,36]],
"Done",
0,
"Done",
matrix[[0,0,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],
proc(A)
local m,u,v,i,j;
m:=0;
u:=0;
v:=0;
for i from 1 to (dim(A))[1] do for j from 1 to (dim(A))[2] do if ((abs(A[i,j]))>0) and ((m=0) or ((abs(A[i,j]))<m)) then
m:=abs(A[i,j]);
u:=i;
v:=j
fi ;
od;;
od;;
u,v;
end;,
matrix[[6,0,7,9],[6,8,6,9],[3,2,4,6],[3,2,3,3]],
3,2,
3,2,
matrix[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]],
"Done",
"Done",
[[1,0,0,0],[-1,1,-2,-3],[0,0,1,0],[0,0,0,1]],
matrix[[6,0,7,9],[-2,8,-10,-15],[1,2,0,0],[1,2,-1,-3]],
proc(A,i,j)
local n,U,V,l;
n:=(dim(A))[1];
U:=identity(n);
V:=identity(n);
for l from 1 to n do V[l,i]:=-iquo(A[l,j],A[i,j]);
od;;
V[i,i]:=1;
for l from 1 to n do U[j,l]:=-iquo(A[i,l],A[i,j]);
od;;
U[j,j]:=1;
V*A*U;
end;,
matrix[[6,1,7,9],[6,8,6,9],[3,1,4,6],[3,2,1,3]],
matrix[[0,-1,-1,-3],[0,6,-2,-3],[3,1,1,0],[0,1,-3,-3]],
proc(A)
k:=0;
n:=(dim(A))[1];
l:=[seq(0,k=(1 .. n))];
B:=A;
i,j:=minval(B);
while (([i,j])<>[0,0]) and ((nops(B))>1) do
B:=trans(B,i,j);
if [i,j]=[minval(B)] then
k:=k+1;
l[k]:=B[i,j];
B:=delcols(B,j .. j);
B:=delrows(B,i .. i)
fi ;
i,j:=minval(B);
od;;
diag([seq(l[k],k=(1 .. (n-1))),B[1,1]]);
end;,
matrix[[2,2,2],[6,12,6],[6,4,6]],
[[2,0,0],[0,-2,0],[0,0,0]],
"Done",
[[2,2,2],[6,12,6],[6,4,12]],
[[2,0,0],[0,-2,0],[0,0,18]],
[[2,0,0],[0,2,0],[0,0,18]],[[2,0,0],[0,2,0],[0,0,18]],
matrix[[4,0,0],[0,6,0],[0,0,8]],
[[2,0,0],[0,4,0],[0,0,24]],
[[4,0,0],[0,6,0],[0,0,8]],
(i,j)->if (i-j)*(i-1)=0 then 1;
fi ,
matrix[[1,1,1],[0,1,0],[0,0,1]],
matrix[[4,6,8],[0,6,0],[0,0,8]],
[[2,0,0],[0,8,0],[0,0,-12]],
proc(A,i,j)
local n,U,l;
n:=(dim(A))[1];
U:=identity(n);
for l from 1 to n do U[j,l]:=-iquo(A[i,l],A[i,j]);
od;;
U[j,j]:=1;
A*U;
end;,
proc(A)
k:=0;
n:=(dim(A))[1];
l:=[seq(0,k=(1 .. n))];
B:=A;
i,j:=minval(B);
while (([i,j])<>[0,0]) and ((nops(B))>1) do
B:=transC(B,i,j);
if [i,j]=[minval(B)] then
k:=k+1;
l[k]:=B[i,j];
B:=delcols(B,j .. j);
B:=delrows(B,i .. i)
fi ;
i,j:=minval(B);
od;;
diag([seq(l[k],k=(1 .. (n-1))),B[1,1]]);
end;,
proc(A)
n:=(dim(A))[1];
d:=Zequiv(A);
L:=[];
for i from 1 to n-1 do
T:=matrix(n+1-i,n+1-i,f);
d:=ZequivC(T*d);
L:=[op(L),d[1,1]];
d:=delrows(delcols(d,1 .. 1),1 .. 1);
od;;
[op(L),d[1,1]];
end;,
matrix[[2,2,2],[6,12,6],[6,4,12]],
[2,-2,18],
[[2,0,0],[0,2,0],[0,0,18]],
[2,4,48],
[[2,0,0],[0,4,0],[0,0,48]]
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