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C Program to check whether a Matrix is Symmetric Matrix or not

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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.

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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[10][10],B[10][10],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[0][0] value :: 1

Enter a[0][1] value :: 2

Enter a[0][2] value :: 3

Enter a[1][0] value :: 2

Enter a[1][1] value :: 4

Enter a[1][2] value :: 5

Enter a[2][0] value :: 3

Enter a[2][1] value :: 5

Enter a[2][2] 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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