// Program: Check for Symmetric and Skew-Symmetric Matrices

// Topic: 2D Arrays and Matrix Properties

// Description: Reads a 3x3 matrix from user input and checks whether it is symmetric or skew-symmetric.

// Uses separate methods to compare elements across the main diagonal and displays the result based on user choice.

package Array2D;

import java.util.*;

/**

*

* @author Samim

*/

public class Symmetric {

public boolean SymmetricCheck(int ar[][]){

for(int i=0;i<ar.length;i++){

for(int j=0;j<ar.length;j++){

if(ar[i][j]!=ar[j][i]){

return false;

}

}

}

return true;

}

public boolean SkewSymmetricCheck(int ar[][]){

for(int i=0;i<ar.length;i++){

for(int j=0;j<ar.length;j++){

if(ar[i][j]!=-(ar[j][i])){

return false;

}

}

}

return true;

}

public static void main(String []args){

Scanner sc=new Scanner(System.in);

int ch;

int arr[][]=new int [3][3];

System.out.println("Enter The Elements :");

for(int i=0;i<3;i++){

for(int j=0;j<3;j++){

arr[i][j]=sc.nextInt();

}

}

System.out.println("Enter Choice :");

System.out.println("1.Symmetric");

System.out.println("2.Skew Symmetric");

ch=sc.nextInt();

Symmetric obj=new Symmetric();

switch (ch) {

case 1 : {

boolean flag=obj.SymmetricCheck(arr);

if(flag==true)

System.out.println("Symmetric Matrix !");

else

System.out.println("Non Symmertric Matrix !");

}

case 2 : {

boolean flag2=obj.SkewSymmetricCheck(arr);

if(flag2==true)

System.out.println("Skew-Symmetric Matrix !");

else

System.out.println("Non Skew-Symmertric Matrix !");

}

default : throw new AssertionError();

}

}

}