/* Matrix symmetric - Program to check whether a given matrix is symmetric or not */

#include  <stdio.h>
#include  <conio.h>

void main()
{
    int  x[10][10], nr, nc, r, c, flag ;
    clrscr() ;
    printf("Enter the number of rows and columns: ") ;
    scanf("%d %d", &nr, &nc) ;
    if(nr==nc)  		/* checking for square matrix */
        {
            printf("Enter elements of the matrix row-wise: \n") ;
            for(r=0 ; r<nr ; r++)
                for(c=0 ; c<nc ; c++)
                    scanf("%d", &x[r][c]) ;
            flag=1 ;      /* assuming matrix is symmetric */
            for(r=0 ; r<nr && flag==1 ; r++)
                for(c=0 ; c<nc && flag==1 ; c++)
                    if(r<c)
                        if(x[r][c]!=x[c][r]) /* True if not symmetric */
                            flag=0;
            if(flag==1)
                printf("The given matrix is symmetric");
            else
                printf("The given matrix is not symmetric");
        }
    else
        printf("The matrix is not a square matrix");
    getch();
}

/*
Output1:

Enter the number of rows and columns: 3  3
Enter elements of the matrix:
11 1 2
1 22 3
2 3 44
The given matrix is symmetric

Output2:

Enter the number of rows and columns: 3 3
Enter elements of the matrix:
11 1 2
1 22 3
4 3 44
The given matrix is not symmetric

Output3:

Enter the number of rows and columns: 3  4
The matrix is not a square matrix
*/