/* 
PROBLEM: Write a program (with one class and that too having 
only the "main" method) to compute the inverse of a non-singular
integer matrix of size 3X3.
*/

import javabook.*;
import java.awt.*;

class Inverse {

public static void main(String[] arg)
{

int a00,a01,a02,a10,a11,a12,a20,a21,a22;
int b00,b01,b02,b10,b11,b12,b20,b21,b22;

MainWindow m_Window=new MainWindow();
InputBox input=new InputBox(m_Window,true);

// Input the input matrix in row-major form
a00=input.getInteger("Give an integer value for a[0][0]");
a01=input.getInteger("Give an integer value for a[0][1]");
a02=input.getInteger("Give an integer value for a[0][2]");

a10=input.getInteger("Give an integer value for a[1][0]");
a11=input.getInteger("Give an integer value for a[1][1]");
a12=input.getInteger("Give an integer value for a[1][2]");

a20=input.getInteger("Give an integer value for a[2][0]");
a21=input.getInteger("Give an integer value for a[2][1]");
a22=input.getInteger("Give an integer value for a[2][2]");

int A00,A01,A02,A10,A11,A12,A20,A21,A22;

// calculate the cofactors

A00=a11*a22-a21*a12;
A01=a20*a12-a10*a22;
A02=a10*a21-a20*a11;

A10=a21*a02-a01*a22;
A11=a00*a22-a20*a02;
A12=a20*a01-a21*a00;

A20=a01*a12-a11*a02;
A21=a10*a02-a00*a12;
A22=a00*a11-a10*a01;

//Calculate the determinant

int Det=a00*A00+a01*A01+a02*A02;

double Inv00,Inv01,Inv02,Inv10,Inv11,Inv12,Inv20,Inv21,Inv22;

// calculate the inverse

Inv00=(double)A00/Det;
Inv01=(double)A10/Det;
Inv02=(double)A20/Det;

Inv10=(double)A01/Det;
Inv11=(double)A11/Det;
Inv12=(double)A21/Det;

Inv20=(double)A02/Det;
Inv21=(double)A12/Det;
Inv22=(double)A22/Det;

OutputBox out=new OutputBox(m_Window);
out.println("The Inverse matrix is ......");

out.print(Inv00+"    ");
out.print(Inv01+"    ");
out.println(Inv02);

out.print(Inv10+"    ");
out.print(Inv11+"    ");
out.println(Inv12);

out.print(Inv20+"    ");
out.print(Inv21+"    ");
out.println(Inv22);

out.waitUntilClose();

}
}