C-Making eine Matrix in Echelon Form?

Question

Hey, so I wanted to make a program for making a Matrix in Echelon form(Not Reduced Echelon Form). Everything seems to be working fine except when the last element of the matrix is 0. That time, it just divides the row and makes it 1! So, I added a while loop to fix that but it still doesn't work since the while loop is not getting executed! Could anyone tell me why?

#include <stdio.h> 
#include <stdlib.h> 



void Interchange(float A[][3],int row_pos,int column_pos,int m); 
void RowDivide(float A[][3],int row_pos,int column_pos,int m); 
void RowOperation(float A[][3],int row_pos,int row_op,int column_pos,int m); 



int main() 
{ 
int m; 

printf("Enter the number of rows in the Matrix: "); 
scanf("%d",&m); 

float A[m][3]; 
printf("\nEnter the Matrix:\n"); 
for(int i=0 ; i<m ; i++) 
{ 
    for(int j=0 ; j<3 ; j++) 
    { 
     scanf("%f",&A[i][j]); 
    } 
} 

int column_pos=0; 
for(int row_pos=0 ; row_pos<m ; row_pos++) 
{ 
    ///For Interchanging 
    if(A[row_pos][column_pos] == 0) 
    { 
     Interchange(A,row_pos,column_pos,m); 
    } 

    ///For Row Division 

This While Loop doesn't get Executed!!! I know it's not getting executed cause it doesn't print "a" like I wrote Can anyone tell me as to why?!

while(A[row_pos][column_pos] == 0) 
    { 
     printf("a"); 
     column_pos++; 
    } 
    RowDivide(A,row_pos,column_pos,m); 

If the last element over here is 0, it divides it and makes it 1! Why?

///For Row Operations 
    if(row_pos == m-1) 
    { 
     break; 
    } 
    else 
    { 
     for(int row_op = row_pos+1 ; row_op<m ; row_op++) 
     RowOperation(A,row_pos,row_op,column_pos,m); 
    } 

    column_pos++; 
} 


printf("\nThe Matrix in Echolen Form:\n"); 
for(int i=0 ; i<m ; i++) 
{ 
    for(int j=0 ; j<3 ; j++) 
    { 
     printf("%0.2f ",A[i][j]); 
    } 
    printf("\n"); 
} 

return 0; 
} 




void Interchange(float A[][3],int row_pos,int column_pos,int m) 
{ 
float temp; 
int cal_pos; 
cal_pos=row_pos; 
while(A[cal_pos][column_pos] == 0) 
{ 
    cal_pos++; 
} 
for(int i=row_pos ; i<row_pos+1 ; i++) 
{ 
    for(int j=column_pos ; j<3 ; j++) 
    { 
     temp = A[i][j]; 
     A[i][j] = A[cal_pos][j]; 
     A[cal_pos][j] = temp; 
    } 
} 

printf("\nThe Matrix after Interchanging Row %d is:\n",row_pos+1); 
for(int i=0 ; i<m ; i++) 
{ 
    for(int j=0 ; j<3 ; j++) 
    { 
     printf("%0.2f ",A[i][j]); 
    } 
    printf("\n"); 
} 
} 




void RowDivide(float A[][3],int row_pos,int column_pos,int m) 
{ 
float temp; ///To store the value of A[i][0] since it will get changed to  1 after dividing 

for(int i=row_pos ; i<row_pos+1 ; i++) 
{ 
    temp = A[i][column_pos]; 
    for(int j=0 ; j<3 ; j++) 
    { 
     A[i][j] = (A[i][j]/temp); 
    } 
} 

printf("\nThe Matrix after dividing the Row %d is:\n",row_pos+1); 
for(int i=0 ; i<m ; i++) 
{ 
    for(int j=0 ; j<3 ; j++) 
    { 
     printf("%0.2f ",A[i][j]); 
    } 
    printf("\n"); 
} 
} 



void RowOperation(float A[][3],int row_pos,int row_op,int column_pos,int m) 
{ 
float Cal_Operation; ///For the value of row that must be added 

for(int i=row_op ; i<row_op+1 ; i++) 
{ 
    if(A[i][column_pos] == 0) 
    { 
     break; 
    } 
    else 
    { 
     Cal_Operation = -A[i][column_pos]; 
     printf("\nCalculated Variable for Row %d=  %0.2f\n",row_op+1,Cal_Operation); 
     for(int j=column_pos ; j<3 ; j++) 
     { 
      A[i][j] = A[i][j] + (Cal_Operation*A[row_pos][j]); 
     } 
     printf("The Matrix after Operating on Row %d is:\n",row_op+1); 
     for(int i=0 ; i<m ; i++) 
     { 
      for(int j=0 ; j<3 ; j++) 
      { 
       printf("%0.2f ",A[i][j]); 
      } 
      printf("\n"); 
     } 
    } 

} 
} 

Answer 1

Ich bin mir nicht sicher, was Sie tun, aber wenn Sie möchten, dass while-Schleife die erste 0-Element zu finden, sollten Sie es einfach ändern in:

while(A[row_pos][column_pos] != 0) 

Ich könnte Ihre Absicht missverstanden haben Lass es mich wissen, wenn das der Fall ist.