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smul_mR(s,UxV_T,s_UxV_T);
// (su x v)
c_r_mR(sU_T, R1, A, R2);
c_r_mR(V_T, R1, A, R3);
c_s_mR(cofactor_R(A, R1, C1), sUxV_T, R1, C1);
c_s_mR(cofactor_R(A, R1, C2), sUxV_T, R1, C2);
c_s_mR(cofactor_R(A, R1, C3), sUxV_T, R1, C3);
// (u x sv)
c_r_mR(U_T, R1, A, R2);
c_r_mR(sV_T, R1, A, R3);
c_s_mR(cofactor_R(A, R1, C1), UxsV_T, R1, C1);
c_s_mR(cofactor_R(A, R1, C2), UxsV_T, R1, C2);
c_s_mR(cofactor_R(A, R1, C3), UxsV_T, R1, C3);
clrscrn();
printf(" s = %+.0f\n\n",s);
printf(" u_T :");
p_mR(U_T, S4, P0, C6);
printf(" v_T :");
p_mR(V_T, S4, P0, C6);
printf("\n"
" s (uxv) == su x v == u x sv\n\n"
" s (uxv) :" );
p_mR(s_UxV_T, S5, P0, C6);
printf(" su x v :" );
p_mR(sUxV_T, S5, P0, C6);
printf(" u x sv :" );
p_mR(UxsV_T, S5, P0, C6);
f_mR(U_T);
f_mR(V_T);
f_mR(sU_T);
f_mR(sV_T);
f_mR(UxV_T);
f_mR(s_UxV_T);
f_mR(sUxV_T);
f_mR(UxsV_T);
f_mR(A);
/* ------------------------------------ */
int main(void)
time_t t;
srand(time(&t));
do
fun();
} while(stop_w());
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 :
s = -3
u_T :
+6 +2 -2
v_T :
-5 +3 -7
s (uxv) == su x v == u x sv
s (uxv) :
+24 -156 -84
su x v :
+24 -156 -84
u x sv :
+24 -156 -84
Press return to continue
Press X return to stop
Mathc matrices/a249
Application
Installer et compiler ces fichiers dans votre répertoire de travail.
/* Save as : c00a.c */
void fun(void)
double s = 5;
double u_T[R1*C3] = { 4, 2, 5};
double v_T[R1*C3] = { 3, 4, 1};
double **U_T = ca_A_mR(u_T , i_mR(R1, C3));
double **V_T = ca_A_mR(v_T , i_mR(R1, C3));
double **sU_T = smul_mR(s,U_T,i_mR(R1, C3));
double **sV_T = smul_mR(s,V_T,i_mR(R1, C3));
double **UxV_T = i_mR(R1, C3);
double **s_UxV_T = i_mR(R1, C3);
double **sUxV_T = i_mR(R1, C3);
double **UxsV_T = i_mR(R1, C3);
double **A = rp_mR(i_mR(R3, C3), 1);
// s (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);
smul_mR(s,UxV_T,s_UxV_T);
// (su x v)
c_r_mR(sU_T, R1, A, R2);
c_r_mR(V_T, R1, A, R3);
c_s_mR(cofactor_R(A, R1, C1), sUxV_T, R1, C1);
c_s_mR(cofactor_R(A, R1, C2), sUxV_T, R1, C2);
c_s_mR(cofactor_R(A, R1, C3), sUxV_T, R1, C3);
// (u x sv)
c_r_mR(U_T, R1, A, R2);
c_r_mR(sV_T, R1, A, R3);
c_s_mR(cofactor_R(A, R1, C1), UxsV_T, R1, C1);