Linear Algebra and the C Language/a0gh


Install and compile this file in your working directory.

/* ------------------------------------ */
/*  Save as :  c00a.c                   */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define  ARRAY  A3 
#define    RCA  R3  
/* ------------------------------------ */
void fun(void)
{
double **A[ARRAY];
double **P[ARRAY];
double **InvP[ARRAY];

double **T = i_mR(RCA,RCA);
int i;

  for(i=A0; i<ARRAY; i++)
     {   
         A[i] =              i_mR(RCA,RCA); 
         P[i] =   r_mR(      i_mR(RCA,RCA),99); 
      InvP[i] = inv_mR(P[i], i_mR(RCA,RCA));       
	   } 

  rsymmetric_mR(A[0],99);
  
    for(i=A0; i<(ARRAY-C1); i++)
     {   
        mul_mR(InvP[i],A[i],T); 
        mul_mR(T,P[i],A[i+C1]);
	   } 

  clrscrn();
  printf(" Similar matrices have the same determinant.\n\n");
  
  for(i=A0; i<ARRAY; i++)
     {
      printf(" A[%d] : \t\t\t det = %+.4f ",i,det_R(A[i]));      
      p_mR(A[i], S9,P2,C6); 
     } 

  for(i=A0; i<ARRAY; i++)
     { 
	   f_mR(A[i]);
	   f_mR(P[i]);		 
	   f_mR(InvP[i]); 
	   }
	   
  f_mR(T);       
}
/* ------------------------------------ */
int main(void)
{
time_t t;

  srand(time(&t));
  
  do{
        fun();
        
  }while(stop_w());

  return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */


Screen output example:

                                                                                       
 Similar matrices have the same determinant.

 A[0] : 			 det = +486540.0000 
   -93.00    -53.00    -56.00 
   -53.00    +36.00    +56.00 
   -56.00    +56.00     +4.00 

 A[1] : 			 det = +486540.0000 
  -178.28   -171.13    +69.73 
  +508.59   +360.48    -99.42 
 +1045.33   +807.93   -235.20 

 A[2] : 			 det = +486540.0000 
 +2307.80  +8471.32 -11396.81 
 +1322.25  +4980.51  -6657.96 
 +1460.93  +5489.74  -7341.31 


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