By | 18.11.2016

# Check Matrix is Symmetric Matrix or not

Write a C Program to check whether a Matrix is Symmetric Matrix or not. Here’s simple Program to check whether a Matrix is Symmetric Matrix or not in C Programming Language.

## What is Matrix ?

Matrix representation is a method used by a computer language to store matrices of more than one dimension in memory. C uses “Row Major”, which stores all the elements for a given row contiguously in memory.

Two-dimensional Arrays : :

The simplest form of multidimensional array is the two-dimensional array. A two-dimensional array is, in essence, a list of one-dimensional arrays. An m × n (read as m by n) order matrix is a set of numbers arranged in m rows and n columns.

To declare a two-dimensional integer array of size [x][y], you would write something as follows −

• type arrayName [ x ][ y ];

Where type can be any valid C data type and arrayName will be a valid C identifier.

Below is the source code for C Program to check whether a Matrix is Symmetric Matrix or not which is successfully compiled and run on Windows System to produce desired output as shown below :

### SOURCE CODE : :

```/*  C Program to check whether a Matrix is Symmetric Matrix or not  */

#include <stdio.h>

int main()
{
int A,B,i,j,m,n;
int row, col, isSymmetric;

printf("Enter no. of rows :: ");
scanf("%d", &m);
printf("\nEnter no. of cols :: ");
scanf("%d",&n);
printf("\nEnter values to the matrix :: \n");
for (i = 0; i < m; i++)
{
for (j = 0; j < n; j++)
{
printf("\nEnter a[%d][%d] value :: ",i,j);
scanf("%d", &A[i][j]);
}
}

/*
* Finds the transpose of matrix A
*/
for(row=0; row<m; row++)
{
for(col=0; col<n; col++)
{
/* Stores each row of matrix A to each column of matrix B */
B[row][col] = A[col][row];
}
}

/*
* Checks whether matrix A is equal to its transpose or not
*/
isSymmetric = 1;
for(row=0; row<m && isSymmetric; row++)
{
for(col=0; col<n; col++)
{
/* If matrix A is not equal to its transpose */
if(A[row][col] != B[row][col])
{
isSymmetric = 0;
break;
}
}
}

/*
* If the given matrix is Symmetric Matrix.
*/
if(isSymmetric==1)
{
printf("\nThe given matrix is Symmetric matrix : : \n\n");

for (i = 0; i < m; ++i)
{
for (j = 0; j < n; ++j)
{
printf("\t%d", A[i][j]);
}
printf("\n\n");
}
}
else
{
printf("\nThe given matrix is not Symmetric matrix.");
}

return 0;
}```

### Output : :

```/*  C Program to check whether a Matrix is Symmetric Matrix or not  */

Enter no. of rows :: 3

Enter no. of cols :: 3

Enter values to the matrix ::

Enter a value :: 1

Enter a value :: 2

Enter a value :: 3

Enter a value :: 2

Enter a value :: 4

Enter a value :: 5

Enter a value :: 3

Enter a value :: 5

Enter a value :: 6

The given matrix is Symmetric matrix : :

1       2       3

2       4       5

3       5       6

Process returned 0```

Above is the source code for C Program to check whether a Matrix is Symmetric Matrix or not which is successfully compiled and run on Windows System.The Output of the program is shown above .

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