Linear Algebra and the C Language/a04f
Install and compile this file in your working directory.

/* ------------------------------------ */
/* Save as : c00a.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
#define RA R4
#define CA C3
#define Cb C1
/* ------------------------------------ */
#define FACTOR_E +1.E-0
/* ------------------------------------ */
int main(void)
{
double ta[RA*(CA+Cb)]={
// x1 x2 x3
+1, +1, +0,// A
+0, -1, -1,// B
+0, +0, +1,// C
-1, +0, +0 // D
};
double tb[RA*(CA+Cb)]={
+50, // A
-40, // B
+20 -10, // C
-30 +10 // D
};
double **A = ca_A_mR(ta,i_mR(RA,CA));
double **b = ca_A_mR(tb,i_mR(RA,C1));
double **Pinv = i_mR(CA,RA);
double **x = i_mR(CA,C1);
clrscrn();
printf(" A :");
p_mR(A,S5,P1,C6);
printf(" b :");
p_mR(b,S5,P1,C6);
printf(" Pinv = V * invS_T * U_T ");
Pinv_Rn_mR(A,Pinv,FACTOR_E);
pE_mR(Pinv,S12,P4,C6);
printf(" x = Pinv * b ");
mul_mR(Pinv,b,x);
p_mR(x,S10,P4,C6);
stop();
f_mR(b);
f_mR(A);
f_mR(Pinv);
f_mR(x);
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */

Screen output example:
A :
+1.0 +1.0 +0.0
+0.0 -1.0 -1.0
+0.0 +0.0 +1.0
-1.0 +0.0 +0.0
b :
+50.0
-40.0
+10.0
-20.0
Pinv = V * invS_T * U_T
+2.5000e-01 +2.5000e-01 +2.5000e-01 -7.5000e-01
+5.0000e-01 -5.0000e-01 -5.0000e-01 +5.0000e-01
-2.5000e-01 -2.5000e-01 +7.5000e-01 -2.5000e-01
x = Pinv * b
+20.0000
+30.0000
+10.0000
Press return to continue.