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where B = b1|b2|...|bn
and X = x1|x2|...|xn
Press return to continue.
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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.
Press return to continue.
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A :
+1 +2i +3 +4i +5 +6i
+5 +4i +1 +3i +6 +8i
+7 +2i +5 +1i +1 +1i
b1 b2 ... bn :
+1 +4i +5 +4i +3 +1i
+2 +5i +3 +5i +2 +3i
+3 +6i +2 +6i +2 +4i
Press return to continue.
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invgj_mZ(A,Inv) :
-1.2917e-01+8.1007e-02i +8.5597e-02-6.6602e-02i +8.5160e-02-3.3778e-04i
+1.8258e-01-8.6352e-02i -1.5122e-01+8.1911e-02i +9.3058e-02-3.8517e-02i
+3.7156e-03-6.3244e-02i +7.1142e-02-3.4463e-02i -8.4514e-02+1.6084e-02i
X = invgj_mZ(A,Inv) * B :
x1 x2 ... xn :
+0.3085+0.3691i -0.2077+0.6268i +0.0742+0.5774i
+0.3263+0.4945i +0.8123+0.2695i +0.4261-0.0711i
+0.2212-0.2204i +0.3918-0.5240i +0.0867-0.3474i
Press return to continue.
------------------------------------
b1 b2 ... bn :
+1 +4i +5 +4i +3 +1i
+2 +5i +3 +5i +2 +3i
+3 +6i +2 +6i +2 +4i
Ax1 Ax2 ... Axn :
+1 +4i +5 +4i +3 +1i
+2 +5i +3 +5i +2 +3i
+3 +6i +2 +6i +2 +4i
Press return to continue.
Mathc complexes/a193
Application
Installer et compiler ces fichiers dans votre répertoire de travail.
/* Save as : c00a.c */
int main(void)
double at[RA*(CA*C2)] ={ 1,2, 3,4,
1,2, 3,4};
double bt[RA*(Cb*C2)] ={ 1,4,
5,4 };
double **A = ca_A_mZ(at, i_mZ(RA,CA));
double **b = ca_A_mZ(bt, i_mZ(RA,Cb));
double **Ab = i_Abr_Ac_bc_mZ(RA,CA,Cb);
c_A_b_Ab_mZ(A,b,Ab);
clrscrn();
printf(" A :");
p_mZ(A, S5,P0, S4,P0, C6);
printf(" b :");
p_mZ(b, S5,P0, S4,P0, C6);
stop();
clrscrn();
printf(" Copy/Past into the octave window.\n\n");
p_Octave_mZ(Ab,"Ab",P0, P0);
printf(" rref(Ab.00000000001)\n\n");
printf(" gj4_mZ(Ab) :");
gj_mZ(Ab);
p_mZ(Ab, S8,P4, S8,P4, C4);
f_mZ(Ab);
f_mZ(b);
f_mZ(A);
stop();
return 0;
/* ------------------------------------ */
Exemple de sortie écran :
A :
+1 +2i +3 +4i
+1 +2i +3 +4i
b :
+1 +4i
+5 +4i
Press return to continue.
Copy/Past into the octave window.
Ab=[
+1+2*i,+3+4*i,+1+4*i;
+1+2*i,+3+4*i,+5+4*i]
rref(Ab.00000000001)
gj4_mZ(Ab) : This(ese) row(s) are incompatible.
row 2;
This(ese) equation(s) was already defined
with an other value(s)
The system is inconsistent.