Here, We’ll check whether the given matrix is symmetrical or not. We’ll write a program in C to find the matrix is symmetric or not.

Note: The symmetry of a matrix can only be determined when it is a square matrix.

Logic: To find whether the matrix is symmetric or not we need to compare the original matrix with its transpose.

Algorithm:

1. Take matrix input from the user.
2. Then find the transpose of the matrix and store it.
3. Now check if the original matrix is same as its transpose.
4. If the original matrix is same as its transpose then the matrix is symmetric else its not symmetric.

Code:

#include <stdio.h>  
int main()  
{  
    int A[3][3], B[3][3];  
    int row, col, isSym;  
  
     // Take a matrix A as input from user 
      
    printf("Enter the elements in matrix of size 3x3: \n");  
    for(row=0; row<3; row++)  
    {  
        for(col=0; col<3; col++)  
        {  
            scanf("%d", &A[row][col]);  
        }  
    }  
  
   // Finds the transpose of matrix A 
    
    for(row=0; row<3; row++)  
    {  
        for(col=0; col<3; 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 
       
    isSym = 1;  
    for(row=0; row<3 && isSym; row++)  
    {  
        for(col=0; col<3; col++)  
        {    
            if(A[row][col] != B[row][col])  
            {  
                isSym = 0;  
                break;  
            }  
        }  
    }  
  
     
     // If the given matrix is symmetric. 
       
    if(isSym == 1)  
    {  
        printf("\n Matrix is Symmetric. \n");  
  
        for(row=0; row<3; row++)  
        {  
            for(col=0; col<3; col++)  
            {  
                printf("%d ", A[row][col]);  
            }  
  
            printf("\n");  
        }  
    }  
    else  
    {  
        printf("\n Matrix is not Symmetric.");  
    }  
  
    return 0;  
}

Output:

Enter elements in matrix of size 3×3:
1 2 3
3 4 5
4 5 6

Matrix is not Symmetric.

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