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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 u_T[R1*C3] = { 4, 2, 5};
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double **U_T = ca_A_mR(u_T , i_mR(R1, C3));
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double **UxU_T = i_mR(R1, C3);
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double **A = rp_mR(i_mR(R3, C3), 1);
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// (u x u)
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c_r_mR(U_T, R1, A, R2);
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c_r_mR(U_T, R1, A, R3);
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c_s_mR(cofactor_R(A, R1, C1), UxU_T, R1, C1);
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c_s_mR(cofactor_R(A, R1, C2), UxU_T, R1, C2);
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c_s_mR(cofactor_R(A, R1, C3), UxU_T, R1, C3);
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clrscrn();
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printf(" u_T :");
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p_mR(U_T, S4, P0, C6);
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printf("\n\n"
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" If u and v are colinear then u x v == 0\n\n"
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" (uxu) :" );
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p_mR(UxU_T, S4, P0, C6);
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stop();
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f_mR(U_T);
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f_mR(UxU_T);
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f_mR(A);
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/* ------------------------------------ */
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int main(void)
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fun();
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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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u_T :
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+4 +2 +5
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If u and v are colinear then u x v == 0
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(uxu) :
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-0 +0 +0
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Press return to continue.
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Mathc matrices/a253
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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 : inv_r.c */
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void fun(int r)
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double **A = r_mR(i_mR(r,r),9999.);
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double **Inv = i_mR(r,r);
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double **ID = i_mR(r,r);
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clrscrn();
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printf(" Copy/Past into the octave window.\n\n");
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p_Octave_mR(A,"A",P0);
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printf(" inv(A)\n");
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pE_mR(inv_mR(A,Inv),S12,P4,C4);
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stop();
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clrscrn();
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printf(" inv(A)*A\n");
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p_mR(mul_mR(Inv,A,ID),S0,P4,C8);
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printf(" A*inv(A)\n");
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p_mR(mul_mR(A,Inv,ID),S0,P4,C8);
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f_mR(ID);
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f_mR(Inv);
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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(rp_I(RC4)+C1);
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} while(stop_w());
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return 0;
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/* ------------------------------------ */
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Vérifier avec octave.
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Exemple de sortie écran :
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Copy/Past into the octave window.
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A=[
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-4532,-7887,+3757,-9980,-1633;
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-5915,+8415,+3925,+2667,-3612;
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+8971,+6896,+9892,+1557,-7736;
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+976,+4251,-3176,+7797,+7083;
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+1996,+8007,-7833,-5417,-6939]
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inv(A)
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+1.2847e-05 -7.7703e-05 +5.7116e-05 +4.6001e-05
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+1.0627e-04 +3.7942e-05 +4.6980e-05 +1.5877e-04
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+8.3529e-05 +2.4906e-05 +5.7843e-05 +6.6634e-05
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-1.8780e-04 +1.8080e-05 -4.8339e-05 -1.6178e-04
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+1.7864e-04 -2.0799e-05 +4.3082e-05 +2.4752e-04
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+2.0704e-05
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+6.4934e-05
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-2.9092e-05
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-7.6465e-05
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+2.9303e-05
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Press return to continue.
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inv(A)*A
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+1.0000 -0.0000 -0.0000 -0.0000 +0.0000
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+0.0000 +1.0000 -0.0000 +0.0000 -0.0000
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+0.0000 +0.0000 +1.0000 +0.0000 +0.0000
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-0.0000 -0.0000 +0.0000 +1.0000 +0.0000
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