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
Alogrithm:
Sum of diagonal element of matrix:
Diagonal elements have been shown in the bold letter.
We can observer the properties any element Aij will diagonal element if and only if i = j