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smul_mR(s,UxV_T,s_UxV_T);
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// (su x v)
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c_r_mR(sU_T, R1, A, R2);
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c_r_mR(V_T, R1, A, R3);
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c_s_mR(cofactor_R(A, R1, C1), sUxV_T, R1, C1);
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c_s_mR(cofactor_R(A, R1, C2), sUxV_T, R1, C2);
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c_s_mR(cofactor_R(A, R1, C3), sUxV_T, R1, C3);
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// (u x sv)
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c_r_mR(U_T, R1, A, R2);
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c_r_mR(sV_T, R1, A, R3);
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c_s_mR(cofactor_R(A, R1, C1), UxsV_T, R1, C1);
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c_s_mR(cofactor_R(A, R1, C2), UxsV_T, R1, C2);
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c_s_mR(cofactor_R(A, R1, C3), UxsV_T, R1, C3);
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clrscrn();
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printf(" s = %+.0f\n\n",s);
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printf(" u_T :");
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p_mR(U_T, S4, P0, C6);
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printf(" v_T :");
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p_mR(V_T, S4, P0, C6);
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printf("\n"
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" s (uxv) == su x v == u x sv\n\n"
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" s (uxv) :" );
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p_mR(s_UxV_T, S5, P0, C6);
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printf(" su x v :" );
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p_mR(sUxV_T, S5, P0, C6);
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printf(" u x sv :" );
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p_mR(UxsV_T, S5, P0, C6);
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f_mR(U_T);
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f_mR(V_T);
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f_mR(sU_T);
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f_mR(sV_T);
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f_mR(UxV_T);
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f_mR(s_UxV_T);
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f_mR(sUxV_T);
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f_mR(UxsV_T);
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f_mR(A);
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/* ------------------------------------ */
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int main(void)
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time_t t;
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srand(time(&t));
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do
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fun();
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} while(stop_w());
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return 0;
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/* ------------------------------------ */
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Les vecteurs en mathématiques sont supposés être des vecteurs colonnes, c'est pour cela que j'utilise _T pour afficher des vecteurs lignes.
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Exemple de sortie écran :
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s = -3
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u_T :
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+6 +2 -2
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v_T :
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-5 +3 -7
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s (uxv) == su x v == u x sv
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s (uxv) :
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+24 -156 -84
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su x v :
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+24 -156 -84
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u x sv :
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+24 -156 -84
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Press return to continue
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Press X return to stop
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Mathc matrices/a249
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Application
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Installer et compiler ces fichiers dans votre répertoire de travail.
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/* Save as : c00a.c */
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void fun(void)
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double s = 5;
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double u_T[R1*C3] = { 4, 2, 5};
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double v_T[R1*C3] = { 3, 4, 1};
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double **U_T = ca_A_mR(u_T , i_mR(R1, C3));
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double **V_T = ca_A_mR(v_T , i_mR(R1, C3));
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double **sU_T = smul_mR(s,U_T,i_mR(R1, C3));
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double **sV_T = smul_mR(s,V_T,i_mR(R1, C3));
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double **UxV_T = i_mR(R1, C3);
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double **s_UxV_T = i_mR(R1, C3);
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double **sUxV_T = i_mR(R1, C3);
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double **UxsV_T = i_mR(R1, C3);
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double **A = rp_mR(i_mR(R3, C3), 1);
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// s (u x v)
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c_r_mR(U_T, R1, A, R2);
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c_r_mR(V_T, R1, A, R3);
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c_s_mR(cofactor_R(A, R1, C1), UxV_T, R1, C1);
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c_s_mR(cofactor_R(A, R1, C2), UxV_T, R1, C2);
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c_s_mR(cofactor_R(A, R1, C3), UxV_T, R1, C3);
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smul_mR(s,UxV_T,s_UxV_T);
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// (su x v)
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c_r_mR(sU_T, R1, A, R2);
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c_r_mR(V_T, R1, A, R3);
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c_s_mR(cofactor_R(A, R1, C1), sUxV_T, R1, C1);
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c_s_mR(cofactor_R(A, R1, C2), sUxV_T, R1, C2);
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c_s_mR(cofactor_R(A, R1, C3), sUxV_T, R1, C3);
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// (u x sv)
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c_r_mR(U_T, R1, A, R2);
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c_r_mR(sV_T, R1, A, R3);
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c_s_mR(cofactor_R(A, R1, C1), UxsV_T, R1, C1);
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