✏️ Explanatory Question
Answer with Explanation
#include <stdio.h>
int main()
{
int a[10][10], i, j, sum = 0, m, n;
printf("Enter the row and column of matrix: ");
scanf("%d %d", &m, &n);
// Check for square matrix
if (m != n) {
printf("Diagonal elements exist only for square matrix.\n");
return 0;
}
printf("Enter the elements of matrix:\n");
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++) {
for (j = 0; j < n; j++) {
printf("%d\t", a[i][j]);
}
printf("\n");
}
// Sum of diagonal elements
for (i = 0; i < m; i++) {
sum = sum + a[i][i];
}
printf("\nSum of the diagonal elements of the matrix is: %d", sum);
return 0;
}
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: 16Explanation:
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