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c) +0 -60 +15 +15 +0 +15 +0
d) +0 +0 +0 -15 -60 +0 -90
e) +15 +0 +15 +0 -60 +15 +0
Le code en langage C :
double ab[RA*(CA+Cb)]={
// I1 I2 I3 I4 I5 I6
-1, +1, +1, +0, +0, +0, +0, +0, +0,
+0, +0, -1, +1, -1, +0, +0, +0, +0,
+0, +0, +0, -1, +1, +1, +0, +0, +0,
+1, -1, +0, +0, +0, -1, +0, +0, +0,
+15, +60, +0, +0, +0, +0, +0, +0, +90,
+0, -60, +15, +15, +0, +15, +0, +0, +0,
+0, +0, +0, -15, -60, +0, +0, +0, -90,
+15, +0, +15, +0, -60, +15, +0, +0, +0
La solution est donné par la résolution du système :
I1 I2 I3 I4 I5 I6
+1.00 -0.00 -0.00 +0.00 -0.00 +0.00 -0.00 -0.00 +2.00
+0.00 +1.00 +0.00 +0.00 +0.00 +0.00 +0.00 +0.00 +1.00
+0.00 +0.00 +1.00 +0.00 +0.00 +0.00 +0.00 +0.00 +1.00
+0.00 +0.00 +0.00 +1.00 +0.00 +0.00 +0.00 +0.00 +2.00
+0.00 +0.00 +0.00 +0.00 +1.00 +0.00 +0.00 +0.00 +1.00
+0.00 +0.00 +0.00 +0.00 +0.00 +1.00 +0.00 +0.00 +1.00
+0.00 +0.00 +0.00 +0.00 +0.00 +0.00 +0.00 +0.00 +0.00
+0.00 +0.00 +0.00 +0.00 +0.00 +0.00 +0.00 +0.00 +0.00
I1 = 2, I2 = 1, I3 = 1, I4 = 2, I5 = 1, I6 = 1,
Mathc matrices/a222
Application
Installer et compiler ces fichiers dans votre répertoire de travail.
/* Save as : c00a.c */
int main(void)
double ab[RA*(CA+Cb)]={
// I1 I2 I3 I4 I5 I6
-1, +1, +1, +0, +0, +0, +0, +0, +0,
+0, +0, -1, +1, -1, +0, +0, +0, +0,
+0, +0, +0, -1, +1, +1, +0, +0, +0,
+1, -1, +0, +0, +0, -1, +0, +0, +0,
+15, +60, +0, +0, +0, +0, +0, +0, +90,
+0, -60, +15, +15, +0, +15, +0, +0, +0,
+0, +0, +0, -15, -60, +0, +0, +0, -90,
+15, +0, +15, +0, -60, +15, +0, +0, +0
double **Ab = ca_A_mR(ab,i_Abr_Ac_bc_mR(RA,CA,Cb));
double **A = c_Ab_A_mR(Ab,i_mR(RA,CA));
double **b = c_Ab_b_mR(Ab,i_mR(RA,Cb));
clrscrn();
printf(" Ab :\n"
" I1 I2 I3 I4 I5 I6 ");
p_mR(Ab,S6,P2,C9);
getchar();
clrscrn();
printf(" Copy/Past into the octave window.\n\n");
p_Octave_mR(Ab,"Ab",P0);
printf("\n rref(Ab.00000000001)\n\n");
getchar();
clrscrn();
printf(" gj_TP_mR(Ab) :\n\n"
" I1 I2 I3 I4 I5 I6 ");
gj_TP_mR(Ab);
p_mR(Ab,S6,P2,C9);
stop();
f_mR(Ab);
f_mR(b);
f_mR(A);
return 0;
/* ------------------------------------ */
Exemple de sortie écran :
Ab :
I1 I2 I3 I4 I5 I6
-1.00 +1.00 +1.00 +0.00 +0.00 +0.00 +0.00 +0.00 +0.00
+0.00 +0.00 -1.00 +1.00 -1.00 +0.00 +0.00 +0.00 +0.00
+0.00 +0.00 +0.00 -1.00 +1.00 +1.00 +0.00 +0.00 +0.00
+1.00 -1.00 +0.00 +0.00 +0.00 -1.00 +0.00 +0.00 +0.00
+15.00 +60.00 +0.00 +0.00 +0.00 +0.00 +0.00 +0.00 +90.00
+0.00 -60.00 +15.00 +15.00 +0.00 +15.00 +0.00 +0.00 +0.00
+0.00 +0.00 +0.00 -15.00 -60.00 +0.00 +0.00 +0.00 -90.00
+15.00 +0.00 +15.00 +0.00 -60.00 +15.00 +0.00 +0.00 +0.00
------------------------------------
Copy/Past into the octave window.
Ab=[
-1,+1,+1,+0,+0,+0,+0,+0,+0;
+0,+0,-1,+1,-1,+0,+0,+0,+0;
+0,+0,+0,-1,+1,+1,+0,+0,+0;
+1,-1,+0,+0,+0,-1,+0,+0,+0;
+15,+60,+0,+0,+0,+0,+0,+0,+90;
+0,-60,+15,+15,+0,+15,+0,+0,+0;
+0,+0,+0,-15,-60,+0,+0,+0,-90;
+15,+0,+15,+0,-60,+15,+0,+0,+0]
rref(Ab.00000000001)
------------------------------------
gj_TP_mR(Ab) :
I1 I2 I3 I4 I5 I6
+1.00 -0.00 -0.00 +0.00 -0.00 +0.00 -0.00 -0.00 +2.00
+0.00 +1.00 +0.00 +0.00 +0.00 +0.00 +0.00 +0.00 +1.00
+0.00 +0.00 +1.00 +0.00 +0.00 +0.00 +0.00 +0.00 +1.00
+0.00 +0.00 +0.00 +1.00 +0.00 +0.00 +0.00 +0.00 +2.00