SUM OF DIAGONAL ELEMENTS IN AMATRIX

Sum of diagonal elements of a matrix in c

#include<stdio.h>

int main(){

  int a[10][10],i,j,sum=0,m,n;

  printf("\nEnter the row and column of matrix: ");

  scanf("%d %d",&m,&n);

  printf("\nEnter the elements of matrix: ");

  for(i=0;i<m;i++)

      for(j=0;j<n;j++)

           scanf("%d",&a[i][j]);

  printf("\nThe matrix is\n");

  for(i=0;i<m;i++){

      printf("\n");

      for(j=0;j<m;j++){

      printf("%d\t",a[i][j]);

      }

 }

 for(i=0;i<m;i++){

     for(j=0;j<n;j++){

          if(i==j)

              sum=sum+a[i][j];

     }

 }

 printf("\n\nSum of the diagonal elements of a matrix is: %d",sum);

 return 0;

}

Sample output:

Enter the row and column of matrix: 3 3

Enter the elements of matrix: 2

3

5

6

7

9

2

6

7

The matrix is

2       3       5

6       7       9

2       6       7

Sum of the diagonal elements of a matrix is: 16

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Alogrithm:

Sum of diagonal element of matrix:

Diagonal elements have been shown in the bold letter.

We can observer the properties any element A_ij will diagonal element if and only if i = j