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printf(" inv(A) :\n");
pE_mR(invgj_mR(A,Inv),S1,P4,C6);
printf(" X = inv(A) * B :\n\n");
printf(" x1 x2 ... xn\n");
p_mR(mul_mR(Inv,B,X),S9,P4,C6);
stop();
clrscrn();
printf(" b1 b2 ... bn :\n");
p_mR(B,S9,P0,C6);
printf(" Ax1 Ax2 ... Axn :\n");
p_mR(mul_mR(A,X,T),S9,P0,C6);
stop();
f_mR(T);
f_mR(X);
f_mR(B);
f_mR(Inv);
f_mR(A);
return 0;
/* ------------------------------------ */
Exemple de sortie écran :
Linear systems with common coefficient matrix.
Ax1=b1
Ax2=b2
Axn=bn
We can write these equalities in this maner.
A|x1|x2|...|xn| = b1|b2|...|bn|
or simply :
AX = B
where B = b1|b2|...|bn
and X = x1|x2|...|xn
Press return to continue.
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.
A :
+10 -150 -148
+207 -215 +997
-858 +803 +289
b1 b2 ... bn :
+437 -146 -175 -954 -432
-233 +243 +772 +920 -98
+444 -886 -604 -15 +946
Press return to continue.
------------------------------------
inv(A) :
-6.5676e-03 -5.7471e-04 -1.3807e-03
-6.9674e-03 -9.4468e-04 -3.0912e-04
-1.3892e-04 +9.1861e-04 +2.2000e-04
X = inv(A) * B :
x1 x2 ... xn
-3.3492 +2.0425 +1.5396 +5.7575 +1.5874
-2.9619 +1.0616 +0.6767 +5.7825 +2.8101
-0.1771 +0.0486 +0.6006 +0.9744 +0.1781
Press return to continue.
b1 b2 ... bn :
+437 -146 -175 -954 -432
-233 +243 +772 +920 -98
+444 -886 -604 -15 +946
Ax1 Ax2 ... Axn :
+437 -146 -175 -954 -432
-233 +243 +772 +920 -98
+444 -886 -604 -15 +946
Press return to continue.
Mathc matrices/a112
Application
Installer et compiler ces fichiers dans votre répertoire de travail.
/* ------------------------------------ */
/* Save as : c00a.c */
int main(void)
double ab[RA*(CA+Cb)]={
-804, -884, +529, +30,
-783, +367, +583, -826,
-804, -884, +529, +30
double **Ab = ca_A_mR(ab,i_Abr_Ac_bc_mR(RA,CA,Cb));
double **A = c_Ab_A_mR(Ab,i_mR(RA,CA));
double **b = c_Ab_b_mR(Ab,i_mR(RA,Cb));
clrscrn();
printf(" A :");
p_mR(A,S8,P0,C7);
printf(" b :");
p_mR(b,S8,P0,C7);
printf(" Ab :");
p_mR(c_A_b_Ab_mR(A,b,Ab),S8,P0,C7);
stop();
clrscrn();
printf(" Copy/Past into the octave window.\n\n");
p_Octave_mR(Ab,"Ab",P0);
printf("\n rref(Ab.00000000001)\n\n");