/*
This is java program to convert the system of linear equations to matrix form.
The input is the coefficient of each variable and constant.
Class rearranges them and converts them into matrix form, which aids solving them.
*/

//This is a sample program to represent linear equations into matrix from
import java.util.Scanner;

public class Matrix_Representation_Equations
{
    public static void main(String args[])
    {
        char []var = {'x', 'y', 'z', 'w', 'a', 'b', 'c', 'd', 'e'};
        System.out.println("Enter the number of variables in the equations: ");
        Scanner input = new Scanner(System.in);
        int n = input.nextInt();
        System.out.println("Enter the coefficients of each variable for each equations");
        System.out.println("ax + by + cz + ... = d");
        int [][]mat = new int[n][n];
        int [][]constants = new int[n][1];
        for(int i=0; i<n; i++)
            {
                for(int j=0; j<n; j++)
                    {
                        mat[i][j] = input.nextInt();
                    }
                constants[i][0] = input.nextInt();
            }
        System.out.println("Matrix representation is: ");
        for(int i=0; i<n; i++)
            {
                for(int j=0; j<n; j++)
                    {
                        System.out.print(" "+mat[i][j]);
                    }
                System.out.print("  "+ var[i]);
                System.out.print("  =  "+ constants[i][0]);
                System.out.println();
            }
        input.close();
    }
}

/*
Enter the number of variables in the equations:
3
Enter the coefficients of each variable for each equations:
ax + by + cz + ... = d
1 2 3 4
5 6 7 8
9 0 1 2
Matrix representation is:
 1 2 3  x  =  4
 5 6 7  y  =  8
 9 0 1  z  =  2