Linear Algebra and the C Language/a0gq
Install and compile this file in your working directory.
/* ------------------------------------ */
/* Save as : c00c.c */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
void fun(int rc)
{
double **A = rsymmetric_mR(i_mR(rc,rc),9);
double **invA = i_mR(rc,rc);
double **AinvA = i_mR(rc,rc);
clrscrn();
printf(" A:");
p_mR(A, S4,P0,C6);
printf(" invA:");
p_mR(invgj_mR(A,invA), S4,P5,C6);
printf(" A invA:");
p_mR(mul_mR(A,invA,AinvA), S4,P5,C6);
f_mR(A);
f_mR(invA);
f_mR(AinvA);
}
/* ------------------------------------ */
int main(void)
{
time_t t;
srand(time(&t));
do
fun(rp_I(RC4)+RC1);
while(stop_w());
return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */
If the inverse of a symmetric matrix exists, it is symmetric.
Screen output example:
A:
-9 +6 -1 +5
+6 -9 -6 +7
-1 -6 -7 -9
+5 +7 -9 +1
invA:
-0.08342 +0.00198 -0.04043 +0.03939
+0.00198 -0.04749 -0.02977 +0.05459
-0.04043 -0.02977 -0.05086 -0.04722
+0.03939 +0.05459 -0.04722 -0.00405
A invA:
+1.00000 +0.00000 +0.00000 +0.00000
+0.00000 +1.00000 -0.00000 -0.00000
+0.00000 -0.00000 +1.00000 +0.00000
+0.00000 -0.00000 -0.00000 +1.00000
Press return to continue
Press X return to stop