Write a program that checks whether a matric is a symmetric matrix.

A symmetric matrix is a square matrix which is equal to its transpose.  

 


Difficulty level
This exercise is mostly suitable for students
#include <stdio.h>
#include <conio.h>
#define SIZE 50
void main()
{
	int A[SIZE][SIZE];
	int dim;        /* dimensions */
	int I, J, aux;             
			
	do {
		printf("Number of rows/columns   (max.%d) : ", SIZE);
		scanf("%d", &dim);
	} while (dim <= 0 || dim > SIZE);
 

	printf("*** Matrix ***\n");
	for (I = 0; I<dim; I++)
		for (J = 0; J<dim; J++)
		{
			printf("A[%d][%d] : ", I, J);
			scanf("%d", &A[I][J]);
		}

 

	printf(" Matrix \n");
	for (I = 0; I<dim; I++)
	{
		for (J = 0; J<dim; J++)
			printf("%6d", A[I][J]);
		printf("\n");
	}

	// we loop over the rows
	for (I = 0; I<dim; I++)
	{
		for (J = 0; J<I; J++)
			if(A[I][J] != A[J][I])
				break;
		if(J<I)
			break;
	}
	
 	if(I==dim)
		printf(" Symmetric  matrix \n");
	else
		printf(" NOT Symmetric  matrix \n"); 
 

	getch();
}

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