# 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, b, 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 ```