Program to check whether a matrix is symmetric or not

Problem Statement:- Program to check whether a matrix is symmetric or not.

Definition of symmetric Matrix:- A Square matrix A is called a symmetric matrix A=A^T.

Example:-

Sample Input/Output:-

Sample Input First:2 2 1 2 2 3	Sample Output First:  Given Matrix is a symmetric Matrix.
Sample Input Second: 3 3 5 9 3 9 6 4 3 4 2	Sample Output Second:  Given Matrix is a symmetric Matrix.

Data requirement:-

  Input Data:- row_size, col_size, matrix[][]

  Output Data:-String output

  Additional Data:- i, j, flag

Program in C

Here is the source code of the C Program to check whether a matrix is symmetric or not.

Code:

#include<stdio.h> int main() { int row_size,col_size; //Get size of matrix printf("Enter the row Size Of the Matrix:"); scanf("%d",&row_size); printf("Enter the columns Size Of the Matrix:"); scanf("%d",&col_size); int matrix[row_size][col_size]; //Taking input of the matrix int i,j; printf("Enter the Matrix Element:\n"); for(i=0;i<row_size;i++) { for(j=0;j<col_size;j++) { scanf("%d",&matrix[i][j]); } } if(row_size!=col_size) { printf("Given Matrix is not a Square Matrix."); } else{ //compute the transpose matrix int tran_matrix[col_size][row_size]; for(i=0;i<col_size;i++) { for(j=0;j<row_size;j++) { tran_matrix[i][j]=matrix[j][i]; } } /*check given matrix elements and transpose matrix elements are same or not.*/ int flag=0; for(i=0;i<col_size;i++) { for(j=0;j<row_size;j++) { if(matrix[i][j]!=tran_matrix[i][j]) { flag=1; break; } } } if(flag==1) printf("Given Matrix is not a symmetric Matrix."); else printf("Given Matrix is a symmetric Matrix."); } }

Input/Output:

Enter the row Size Of the Matrix:2 Enter the columns Size Of the Matrix:2 Enter the Matrix Element: 1 2 2 3 Given Matrix is a symmetric Matrix.

Program in C++

Here is the source code of the C++ Program to check whether a matrix is symmetric or not.

Code:

#include<iostream> using namespace std; int main() { int row_size,col_size; //Get size of matrix cout<<"Enter the row Size Of the Matrix:"; cin>>row_size; cout<<"Enter the columns Size Of the Matrix:"; cin>>col_size; int matrix[row_size][col_size]; //Taking input of the matrix int i,j; cout<<"Enter the Matrix Element:\n"; for(i=0;i<row_size;i++) { for(j=0;j<col_size;j++) { cin>>matrix[i][j]; } } if(row_size!=col_size) { cout<<"Given Matrix is not a Square Matrix."; } else{ //compute the transpose matrix int tran_matrix[col_size][row_size]; for(i=0;i<col_size;i++) { for(j=0;j<row_size;j++) { tran_matrix[i][j]=matrix[j][i]; } } /*check given matrix elements and transpose matrix elements are same or not.*/ int flag=0; for(i=0;i<col_size;i++) { for(j=0;j<row_size;j++) { if(matrix[i][j]!=tran_matrix[i][j]) { flag=1; break; } } } if(flag==1) cout<<"Given Matrix is not a symmetric Matrix."; else cout<<"Given Matrix is a symmetric Matrix."; } }

Input/Output:

Enter the row Size Of the Matrix:3 Enter the columns Size Of the Matrix:3 Enter the Matrix Element: 5 9 3 9 6 4 3 4 2 Given Matrix is a symmetric Matrix.

Program in Java

Here is the source code of the Java Program to check whether a matrix is symmetric or not.

Code:

import java.util.Scanner; public class CheckSymmetricMatrix { public static void main(String[] args) { Scanner cs=new Scanner(System.in); int row_size,col_size; //Get size of matrix System.out.print("Enter the row Size Of the Matrix:"); row_size=cs.nextInt(); System.out.print("Enter the columns Size Of the Matrix:"); col_size=cs.nextInt(); int matrix[][] =new int[row_size][col_size]; //Taking input of the matrix int i,j; System.out.println("Enter the Matrix Element:"); for(i=0;i<row_size;i++) { for(j=0;j<col_size;j++) { matrix[i][j]=cs.nextInt(); } } if(row_size!=col_size) { System.out.print("Given Matrix is not a Square Matrix."); } else{ //compute the transpose matrix int tran_matrix[][]=new int[col_size][row_size]; for(i=0;i<col_size;i++) { for(j=0;j<row_size;j++) { tran_matrix[i][j]=matrix[j][i]; } } /*check given matrix elements and transpose matrix elements are same or not.*/ int flag=0; for(i=0;i<col_size;i++) { for(j=0;j<row_size;j++) { if(matrix[i][j]!=tran_matrix[i][j]) { flag=1; break; } } } if(flag==1) System.out.print("Given Matrix is not a symmetric Matrix."); else System.out.print("Given Matrix is a symmetric Matrix."); } cs.close(); } }

Input/Output:

Enter the row Size Of the Matrix:3 Enter the columns Size Of the Matrix:2 Enter the Matrix Element: 4 5 7 8 9 3 Given Matrix is not a Square Matrix.

Program in Python

Here is the source code of the Python Program to check whether a matrix is symmetric or not.

Code:

# Get size of matrix row_size=int(input("Enter the row Size Of the Matrix:")) col_size=int(input("Enter the columns Size Of the Matrix:")) matrix=[] # Taking input of the 1st matrix print("Enter the Matrix Element:") for i in range(row_size): matrix.append([int(j) for j in input().split()]) if row_size!=col_size: print("Given Matrix is not a Square Matrix.") else: #compute the transpose matrix tran_matrix = [[0 for i in range(col_size)] for i in range(row_size)] for i in range(0, row_size): for j in range(0, col_size): tran_matrix[i][j] = matrix[j][i] # check given matrix elements and transpose # matrix elements are same or not. flag=0 for i in range(0, row_size): for j in range(0, col_size): if matrix[i][j] != tran_matrix[i][j]: flag=1 break if flag==1: print("Given Matrix is not a symmetric Matrix.") else: print("Given Matrix is a symmetric Matrix.")

Input/Output:

Enter the row Size Of the Matrix:3 Enter the columns Size Of the Matrix:3 Enter the Matrix Element: 4 5 6 7 8 9 2 3 4 Given Matrix is not a symmetric Matrix.

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