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-I1 +I4 +I6 = 0 |
b) -I2 R2 -I6 R6 = -90 |
c) +I2 R2 -I3 R3 -I5 R5 = 0 |
d) -I4 R4 +I5 R5 +I6 R6 = 0 |
e) -I3 R3 -I4 R4 = -90 |
Avec R2 = 50, R3 = 20, R4 = 50, |
R5 = 10, R6 = 20 |
a) +I1 -I2 -I3 = 0 |
+I3 -I4 -I5 = 0 |
+I2 +I5 -I6 = 0 |
-I1 +I4 +I6 = 0 |
b) -I2 50 -I6 20 = -90 |
c) +I2 50 -I3 20 -I5 10 = 0 |
d) -I4 50 +I5 10 +I6 20 = 0 |
e) -I3 20 -I4 50 = -90 |
Arrangeons le système |
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 +1 +0 +0 +1 -1 0 0 0 |
-1 +0 +0 +1 +0 +1 0 0 0 |
+0 -50 +0 +0 +0 -20 0 0 -90 |
+0 +50 -20 +0 -10 +0 0 0 0 |
+0 +0 +0 -50 +10 +20 0 0 0 |
+0 +0 -20 -50 +0 +0 0 0 -90 |
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, +1, +0, +0, +1, -1, 0, 0, 0, |
-1, +0, +0, +1, +0, +1, 0, 0, 0, |
+0, -50, +0, +0, +0, -20, 0, 0, -90, |
+0, +50, -20, +0, -10, +0, 0, 0, 0, |
+0, +0, +0, -50, +10, +20, 0, 0, 0, |
+0, +0, -20, -50, +0, +0, 0, 0, -90, |
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 +3.00 |
+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 +2.00 |
+0.00 +0.00 +0.00 +1.00 +0.00 +0.00 +0.00 +0.00 +1.00 |
+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 +2.00 |
+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 = 3, I2 = 1, I3 = 2, I4 = 1, I5 = 1, I6 = 2, |
Mathc matrices/a220 |
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, +1, +0, +0, +1, -1, 0, 0, 0, |
-1, +0, +0, +1, +0, +1, 0, 0, 0, |
+0, -50, +0, +0, +0, -20, 0, 0, -90, |
+0, +50, -20, +0, -10, +0, 0, 0, 0, |
+0, +0, +0, -50, +10, +20, 0, 0, 0, |
+0, +0, -20, -50, +0, +0, 0, 0, -90, |
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 +1.00 +0.00 +0.00 +1.00 -1.00 +0.00 +0.00 +0.00 |
-1.00 +0.00 +0.00 +1.00 +0.00 +1.00 +0.00 +0.00 +0.00 |
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