**Check Matrix is Symmetric Matrix or not**

**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 : :**

**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 : :**

**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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