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Exemple de sortie écran :
A :
-826,+623, +985,-271, +849,-954, -671,-220,
-826,+623, +985,-271, +849,-954, -671,-220,
-826,+623, +985,-271, +849,-954, -671,-220,
+489, -44, -740,+892, -908,-267, -734,+284
b :
+566,+183,
+566,+183,
+566,+183,
+866,-619
Press return to continue.
------------------------------------
Copy/Past into the octave window.
Ab=[
-826+623*i,+985-271*i,+849-954*i,-671-220*i,+566+183*i;
-826+623*i,+985-271*i,+849-954*i,-671-220*i,+566+183*i;
-826+623*i,+985-271*i,+849-954*i,-671-220*i,+566+183*i;
+489-44*i,-740+892*i,-908-267*i,-734+284*i,+866-619*i]
rref(Ab.00000000001)
gj4_mZ(Ab) :
+1.0000 -0.0000i +0.0000 -0.0000i -1.6492 +0.4954i +0.3124 +1.4367i
-0.0000 -0.0000i +1.0000 -0.0000i -0.3184 +0.4024i +0.2545 +0.8538i
+0.0000 +0.0000i +0.0000 +0.0000i +0.0000 +0.0000i +0.0000 +0.0000i
+0.0000 +0.0000i +0.0000 +0.0000i +0.0000 +0.0000i +0.0000 +0.0000i
-0.5885 -1.4786i
-0.6195 -0.8524i
+0.0000 +0.0000i
+0.0000 +0.0000i
Press return to continue.
Mathc matrices/c184
Application
Installer et compiler ces fichiers dans votre répertoire de travail.
/* Save as : c01a.c */
int main(void)
double a[RA*CA] ={ 4,2,3,
5,3,1,
8,2,2};
double b[RA*Cb] ={ 3,
2,
1};
double **A = ca_A_mR(a,i_mR(RA,CA));
double **B = ca_A_mR(b,i_mR(RA,Cb));
double **Inv = i_mR(RA,CA);
double **X = i_mR(RA,Cb);
double **T = i_mR(RA,Cb);
clrscrn();
printf(" We want to find X such as, \n\n");
printf(" AX = B \n\n");
printf(" If A is a square matrix and, \n\n");
printf(" If A has an inverse matrix, \n\n");
printf(" you can find X by this method\n\n");
printf(" X = inv(A) B \n\n\n");
printf(" To verify the result you can \n\n");
printf(" multiply the matrix A by X. \n\n");
printf(" You must refind B. \n\n");
getchar();
clrscrn();
printf(" A :\n");
p_mR(A,S5,P0,C7);
printf(" B :\n");
p_mR(B,S5,P0,C7);
getchar();
clrscrn();
printf(" inv(A) :\n");
pE_mR(inv_mR(A,Inv),S1,P3,C7);
printf(" X = inv(A) * B :\n");
p_mR(mul_mR(Inv,B,X),S13,P4,C7);
getchar();
clrscrn();
printf(" B :\n");
p_mR(B,S5,P0,C7);
printf(" AX :\n");
p_mR(mul_mR(A,X,T),S5,P0,C7);
f_mR(T);
f_mR(X);
f_mR(B);
f_mR(Inv);
f_mR(A);
return 0;
/* ------------------------------------ */
Exemple de sortie écran :
We want to find X such as,
AX = B
If A is a square matrix and,
If A has an inverse matrix,
you can find X by this method
X = inv(A) B
To verify the result you can
multiply the matrix A by X.
You must refind B.
A :