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p_mR(U_T, S4, P0, C6);
printf(" v_t :");
p_mR(V_T, S4, P0, C6);
printf(" A :");
p_mR(A, S4, P0, C6);
printf(" | 1 1 1 | | u1 u2 u3 | \n"
" u.(u x v) == u. | u1 u2 u3 | == | u1 u2 u3 | == det(A) \n"
" | v1 v2 v3 | | v1 v2 v3 | \n\n"
" u.(u x v) == det(A) == %+.4f\n\n",
det_R(A) );
stop();
f_mR(U_T);
f_mR(V_T);
f_mR(A);
/* ------------------------------------ */
int main(void)
fun();
return 0;
/* ------------------------------------ */
Les vecteurs en mathématiques sont supposés être des vecteurs colonnes, c'est pour cela que j'utilise _T pour afficher des vecteurs lignes.
Exemple de sortie écran :
u_t :
+4 +2 +5
v_t :
+3 +4 +1
A :
+4 +2 +5
+4 +2 +5
+3 +4 +1
| 1 1 1 | | u1 u2 u3 |
u.(u x v) == u. | u1 u2 u3 | == | u1 u2 u3 | == det(A)
| v1 v2 v3 | | v1 v2 v3 |
u.(u x v) == det(A) == +0.0000
Press return to continue.
Mathc matrices/a244
Application
Installer et compiler ces fichiers dans votre répertoire de travail.
/* Save as : c00a.c */
void fun(void)
double **U_T = r_mR(i_mR(R1, C3), 9);
double **V_T = r_mR(i_mR(R1, C3), 9);
double **W_T = r_mR(i_mR(R1, C3), 9);
double **UxV_T = i_mR(R1, C3);
double **UxW_T = i_mR(R1, C3);
double **UxV_T_pls_UxW_T = i_mR(R1, C3);
double **V_plus_W_T = add_mR(V_T,W_T,i_mR(R1, C3));
double **Ux_VplusW_T = i_mR(R1, C3);
double **A = rp_mR(i_mR(R3, C3), 1);
// (u x v)
c_r_mR(U_T, R1, A, R2);
c_r_mR(V_T, R1, A, R3);
c_s_mR(cofactor_R(A, R1, C1), UxV_T, R1, C1);
c_s_mR(cofactor_R(A, R1, C2), UxV_T, R1, C2);
c_s_mR(cofactor_R(A, R1, C3), UxV_T, R1, C3);
// (u x w)
c_r_mR(U_T, R1, A, R2);
c_r_mR(W_T, R1, A, R3);
c_s_mR(cofactor_R(A, R1, C1), UxW_T, R1, C1);
c_s_mR(cofactor_R(A, R1, C2), UxW_T, R1, C2);
c_s_mR(cofactor_R(A, R1, C3), UxW_T, R1, C3);
// (uxv) + (uxw)
add_mR(UxV_T,UxW_T,UxV_T_pls_UxW_T);
// u x (v+w)
c_r_mR(U_T, R1, A, R2);
c_r_mR(V_plus_W_T, R1, A, R3);
c_s_mR(cofactor_R(A, R1, C1), Ux_VplusW_T, R1, C1);
c_s_mR(cofactor_R(A, R1, C2), Ux_VplusW_T, R1, C2);
c_s_mR(cofactor_R(A, R1, C3), Ux_VplusW_T, R1, C3);
clrscrn();
printf(" u_T :");
p_mR(U_T, S4, P0, C6);
printf(" v_T :");
p_mR(V_T, S4, P0, C6);
printf(" w_T :");
p_mR(W_T, S4, P0, C6);
printf("\n\n"
" u x (v+w) == (uxv) + (uxw) \n\n"
" u x (v+w) :");
p_mR(Ux_VplusW_T, S5, P0, C6);
printf(" (uxv) + (uxw) :");
p_mR(UxV_T_pls_UxW_T, S5, P0, C6);
f_mR(U_T);
f_mR(V_T);
f_mR(W_T);
f_mR(UxV_T);
f_mR(UxW_T);
f_mR(UxV_T_pls_UxW_T);
f_mR(V_plus_W_T);
f_mR(Ux_VplusW_T);
f_mR(A);
/* ------------------------------------ */
int main(void)
time_t t;
srand(time(&t));