Linear Algebra and the C Language/a0mz
Install and compile this file in your working directory.
/* ------------------------------------ */
/* Save as : c02c.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
/* ------------------------------------ */
#define RA R2
#define CA C2
#define RX R2
#define CX C1
/* ------------------------------------ */
/* ------------------------------------ */
int main(void)
{
double a[RA*CA]={
+3, -2,
+2, -2
};
double x_B[RX*CX]={
+1,
+2
};
double b[RA*CA]={
+2, +4,
+3, +5
};
double **A = ca_A_mR(a, i_mR(RA,CA));
double **B = ca_A_mR(b, i_mR(RA,CA));
double **x_b = ca_A_mR(x_B, i_mR(RX,CX));
double **invB = inv_mR(B, i_mR(RA,CA));
double **invBA = mul_mR(invB,A, i_mR(RA,CA));
double **D = mul_mR(invBA,B, i_mR(RA,CA));
double **Dx_b = mul_mR(D,x_b, i_mR(RA,CX));
clrscrn();
printf(" In the \"B\" basis\n\n"
" Calculate the linear application [T(x_b)]_b = D x_b \n\n"
" With D: (InvB A B)");
p_mR(D,S7,P2,C7);
printf(" And x_b:");
p_mR(x_b,S7,P2,C7);
printf(" [T(x_b)]_b = D x_b");
p_mR(mul_mR(D,x_b,Dx_b),S8,P2,C7);
stop();
f_mR(A);
f_mR(x_b);
f_mR(B);
f_mR(invB);
f_mR(invBA);
f_mR(D);
f_mR(Dx_b);
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
Screen output example:
In the "B" basis
Calculate the linear application [T(x_b)]_b = D x_b
With D: (InvB A B)
-4.00 -9.00
+2.00 +5.00
And x_b:
+1.00
+2.00
[T(x_b)]_b = D x_b
-22.00
+12.00
Press return to continue.