C Program to Check Symmetric Matrix

In this tutorial, i am going to show you how to check symmetric matrix in c programs.

Algorithm to check symmetric matrix

Follow the below given algorithm to write a program to check symmetric matrix; as follows:

  1. Start Program
  2. Input elements in matrix A.
  3. Find transpose of matrix A, store it in some variable say B.
  4. Check if matrix A is equal to its transpose AT then it is symmetric matrix otherwise not. Means check if Aij = ATij (Where 1 ≤ i ≤ m and 1 ≤ j ≤ n) then the matrix is symmetric.
  5. Stop Program.

C Program to Check Symmetric Matrix

/* C Program to check Matrix is a Symmetric Matrix or Not */
 
#include<stdio.h>
 
int main()
{
 	int i, j, rows, columns, a[10][10], b[10][10], Count = 1;
  
 	printf("\n Please Enter Number of rows and columns  :  ");
 	scanf("%d %d", &i, &j);
 
 	printf("\n Please Enter the Matrix Elements \n");
 	for(rows = 0; rows < i; rows++)
  	{
   		for(columns = 0;columns < j;columns++)
    	{
      		scanf("%d", &a[rows][columns]);
    	}
  	}
   	//Transpose of matrix 
 	for(rows = 0; rows < i; rows++)
  	{
   		for(columns = 0;columns < j; columns++)
    	{
      		b[columns][rows] = a[rows][columns];
    	}
  	}
     
 	for(rows = 0; rows < i; rows++)
  	{
   		for(columns = 0; columns < j; columns++)
    	{
    		if(a[rows][columns] != b[rows][columns])
    		{
    			Count++;  
				break;  		
			}
   	 	}
  	}
  	if(Count == 1)
  	{
  		printf("\n The Matrix that you entered is a Symmetric Matrix ");
	}
	else
	{
		printf("\n The Matrix that you entered is Not a Symmetric Matrix ");
	}
  	
 	return 0;
}

The result of the above c program; as follows:

Please Enter Number of rows and columns  :  3 3
Please Enter the Matrix Elements 
1 2 3
2 4 5
3 5 8
The Matrix that you entered is a Symmetric Matrix 

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