/*
* To change this template, choose Tools | Templates
* and open the template in the editor.
*/
package matriks_algo2;
import javax.swing.JOptionPane;
/**
*
* @author Dyah
*/
public class Matriks_algo2 {
/**
* @param args the command line arguments
*/
public static void main(String[] args) {
JOptionPane.showMessageDialog(null, "SELAMAT DATANG DIPROGRAM MATRIKS");
int baris = Integer.parseInt(JOptionPane.showInputDialog("masukkan banyak baris"));
int kolom = Integer.parseInt(JOptionPane.showInputDialog("masukkan banyak kolom"));
int C [][] = new int [baris][kolom];
int D [][] = new int [baris][kolom];
//matriks A
int A [][] = new int [baris][kolom];
System.out.println("Matriks A : \n");
for(int i=0;i<baris;i++){
System.out.print(" | ");
for(int j=0;j< baris;j++){
A[i][j]=Integer.parseInt(JOptionPane.showInputDialog(null,"Matriks A Baris Ke-"+(i+1)+" Kolom Ke-"+(j+1)));
System.out.print(" "+A[i][j]+ " ");
}
System.out.println(" | ");
}
//matriks B
int B [][] = new int [baris][kolom];
System.out.println("Matriks B : \n");
for(int i=0;i<kolom;i++){
System.out.print(" | ");
for(int j=0;j< kolom;j++){
B[i][j]=Integer.parseInt(JOptionPane.showInputDialog(null,"Matriks B Baris Ke-"+(i+1)+" Kolom Ke-"+(j+1)));
System.out.print(" "+B[i][j]+ " ");
}
System.out.println(" | ");
}
int menu = Integer.parseInt(JOptionPane.showInputDialog("SELAMAT DATANG DI PROGRAM MATRIKS \n"
+ "Silahkan Pilih Operasi : \n"
+ "1. Penjumlahan \n"
+ "2. Perkalian \n"
+ "3. Pengurangan \n"
+ "4. Pembagian \n"
+ "5. Determinan \n"
+ "6. Kofaktor \n"
+ "7. Invers \n"
+ "8. Eliminasi Gauss \n"
+ "9. Gauss Jordan \n"
+ "10. Crammer"));
//penjumlahan
if (menu == 1){
System.out.println("Hasil matrik");
for(int i=0; i<baris; i++){
System.out.print("|");
for(int j=0; j<kolom; j++){
System.out.print(" " + (A[i][j] + B[i][j]) +" ");
}
System.out.println("|");
}
}
if (menu == 2){
System.out.println("Hasil matrik");
for(int i=0; i<baris; i++){
System.out.print("|");
for(int j=0; j<kolom; j++){
for (int k=0;k<baris;k++){
C[i][j]= C[i][j]+(A[i][k]*B[k][j]);
}
System.out.print(" " + C[i][j]+" ");
}
System.out.println("|");
}
}
if (menu == 3){
System.out.println("Hasil matrik");
for(int i=0; i<baris; i++){
System.out.print("|");
for(int j=0; j<kolom; j++){
System.out.print(" " + (A[i][j] - B[i][j]) +" ");
}
System.out.println("|");
}
}
else if (menu == 4){
System.out.println("Maav tidak ditemukan hasil untuk pembagian matriks karena matrik tidak bisa dibagi");
}
else if (menu == 5){
// System.out.println("");
// for (int i = 0; i<baris; i++){
//
// for (int j=0; j<kolom; j++){
// int k = (A[i][j]*A[i+1][j+1]);
// int l = A[i+1][j]*A[i][j+1];
//
// int u = (B[i][j]*B[i+1][j+1]);
// int v = B[i+1][j]*B[i][j+1];
// System.out.println(" Determinan Matriks A : \n"+(k-l));
// System.out.println("Determinan Matriks B : \n "+(u-v));
// }
//
//A[i+1][j]*A[i][j+1]
float detA=(A[0][0]*A[1][1]*A[2][2])+
(A[0][1]*A[1][2]*A[2][0])+
(A[0][2]*A[1][0]*A[2][1]);
float detB=(A[0][1]*A[1][0]*A[2][2])+
(A[0][0]*A[1][2]*A[2][1])+
(A[0][2]*A[1][1]*A[2][0]);
float determinanA = detA - detB;
System.out.println("Determiunan Matriks A = "+determinanA);
float deta=(B[0][0]*B[1][1]*B[2][2])+
(B[0][1]*B[1][2]*B[2][0])+
(B[0][2]*B[1][0]*B[2][1]);
float detb=(B[0][1]*B[1][0]*B[2][2])+
(B[0][0]*B[1][2]*B[2][1])+
(B[0][2]*B[1][1]*B[2][0]);
float determinanB = deta - detb;
System.out.println("Determinan Matriks B = "+determinanB);
//System.out.println(" Determinan Matriks B : "+detB);
//adjoin matriks
int tempA[][]=new int[3][3];
tempA[0][0]=A[1][1]* A[2][2]-A[2][1]*A [1][2];
tempA[0][1]=A[1][0]* A[2][2]-A[2][0]*A [1][2];
tempA[0][2]=A[1][0]* A[2][1]-A[1][1]*A [2][0];
tempA[1][0]=A[0][1]* A[2][2]-A[0][2]*A [2][1];
tempA[1][1]=A[0][0]* A[2][2]-A[0][2]*A [2][0];
tempA[1][2]=A[0][0]* A[2][1]-A[0][1]*A [2][0];
tempA[2][0]=A[1][1]* A[2][2]-A[1][2]*A [2][1];
tempA[2][1]=A[0][0]* A[1][2]-A[0][2]*A [1][0];
tempA[2][2]=A[0][0]* A[1][1]-A[0][1]*A [1][0];
System.out.println ();
System.out.println ("Adjoin Matriks : ");
for (int i=0;i<3;i++)
{
System.out.print("| ");
for (int j=0;j<3;j++)
{
System.out.print(tempA[i][j]+" ");
}
System.out.println("|");
}
//B
int temp[][]=new int[3][3];
temp[0][0]=B[1][1]* B[2][2]-B[2][1]*B [1][2];
temp[0][1]=B[1][0]* B[2][2]-B[2][0]*B [1][2];
temp[0][2]=B[1][0]* B[2][1]-B[1][1]*B [2][0];
temp[1][0]=B[0][1]* B[2][2]-B[0][2]*B [2][1];
temp[1][1]=B[0][0]* B[2][2]-B[0][2]*B [2][0];
temp[1][2]=B[0][0]* B[2][1]-B[0][1]*B [2][0];
temp[2][0]=B[1][1]* B[2][2]-B[1][2]*B [2][1];
temp[2][1]=B[0][0]* B[1][2]-B[0][2]*B [1][0];
temp[2][2]=B[0][0]* B[1][1]-B[0][1]*B [1][0];
System.out.println ();
//System.out.println ("Adjoin Matriks : ");
for (int i=0;i<3;i++)
{
System.out.print("| ");
for (int j=0;j<3;j++)
{
System.out.print(temp[i][j]+" ");
}
System.out.println("|");
}
}
else if (menu == 6){
double m00 = (Math.pow(-1, 2))*((A[1][1]*A[2][2])-(A[1][2]*A[2][1]));
double m01 = (Math.pow(-1, 3))*((A[1][0]*A[2][2])- (A[1][2]*A[2][0]));
double m02 = (Math.pow(-1, 4))*((A[1][0]*A[2][1])-(A[1][1]*A[2][0]));
double m10 = (Math.pow(-1, 3))*((A[0][1]*A[2][2])-(A[0][2]*A[2][1]));
double m11 = (Math.pow(-1, 4))*((A[0][0]*A[2][2])-(A[0][2]*A[2][0]));
double m12= (Math.pow(-1, 5))*((A[0][0]*A[2][1])-(A[0][1]*A[2][0]));
double m20 = (Math.pow(-1, 4))*((A[0][1]*A[1][2])- (A[0][2]*A[1][1]));
double m21 = (Math.pow(-1, 5))*((A[0][0]*A[1][2])-(A[0][2]*A[1][0]));
double m22 = (Math.pow(-1, 6))*((A[0][0]*A[1][1])- (A[0][1]*A[1][0]));
// for (int i =0; i<3;i++){
//for (int j = 0;j<3;j++){
System.out.println("Kofaktor Matriks A adalah : \n"
+ "C11 :" +m00+" \n"
+ ""
+ "C12 :" +m01+" \n"
+ ""
+ "C13 :" +m02+" \n"
+ ""
+ "C21 :" +m10+" \n"
+ ""
+ "C22 :" +m11+" \n"
+ ""
+ "C23 :" +m12+" \n"
+ ""
+ "C31 :" +m20+" \n"
+ ""
+ "C32 :" +m21+" \n"
+ ""
+ "C33 :" +m22+" \n"
+ "");
//matriks B
double mb00 = (Math.pow(-1, 2))*((B[1][1]*B[2][2])-(B[1][2]*B[2][1]));
double mb01 = (Math.pow(-1, 3))*((B[1][0]*B[2][2])- (B[1][2]*B[2][0]));
double mb02 = (Math.pow(-1, 4))*((B[1][0]*B[2][1])-(B[1][1]*B[2][0]));
double mb10 = (Math.pow(-1, 3))*((B[0][1]*B[2][2])-(B[0][2]*B[2][1]));
double mb11 = (Math.pow(-1, 4))*((B[0][0]*B[2][2])-(B[0][2]*B[2][0]));
double mb12= (Math.pow(-1, 5))*((B[0][0]*B[2][1])-(B[0][1]*A[2][0]));
double mb20 = (Math.pow(-1, 4))*((B[0][1]*B[1][2])- (B[0][2]*A[1][1]));
double mb21 = (Math.pow(-1, 5))*((B[0][0]*B[1][2])-(B[0][2]*A[1][0]));
double mb22 = (Math.pow(-1, 6))*((B[0][0]*B[1][1])- (B[0][1]*A[1][0]));
// for (int i =0; i<3;i++){
//for (int j = 0;j<3;j++){
System.out.println("Kofaktor Matriks B adalah : \n"
+ "C11 :" +mb00+" \n"
+ ""
+ "C12 :" +mb01+" \n"
+ ""
+ "C13 :" +mb02+" \n"
+ ""
+ "C21 :" +mb10+" \n"
+ ""
+ "C22 :" +mb11+" \n"
+ ""
+ "C23 :" +mb12+" \n"
+ ""
+ "C31 :" +mb20+" \n"
+ ""
+ "C32 :" +mb21+" \n"
+ ""
+ "C33 :" +mb22+" \n"
+ "");
}
else if (menu == 7) //invers
{
int detA=(A[0][0]*A[1][1]*A[2][2])+
(A[0][1]*A[1][2]*A[2][0])+
(A[0][2]*A[1][0]*A[2][1]);
int detB=(A[0][1]*A[1][0]*A[2][2])+
(A[0][0]*A[1][2]*A[2][1])+
(A[0][2]*A[1][1]*A[2][0]);
int determinanA = detA - detB;
//adjoin matriks
int temp[][]=new int[3][3];
temp[0][0]=A[1][1]* A[2][2]-A[2][1]*A [1][2];
temp[0][1]=A[1][0]* A[2][2]-A[2][0]*A [1][2];
temp[0][2]=A[1][0]* A[2][1]-A[1][1]*A [2][0];
temp[1][0]=A[0][1]* A[2][2]-A[0][2]*A [2][1];
temp[1][1]=A[0][0]* A[2][2]-A[0][2]*A [2][0];
temp[1][2]=A[0][0]* A[2][1]-A[0][1]*A [2][0];
temp[2][0]=A[1][1]* A[2][2]-A[1][2]*A [2][1];
temp[2][1]=A[0][0]* A[1][2]-A[0][2]*A [1][0];
temp[2][2]=A[0][0]* A[1][1]-A[0][1]*A [1][0];
if (determinanA !=0)
{
temp[0][0]=temp[0][0]/determinanA;
temp[0][1]=temp[0][1]/determinanA;
temp[0][2]=temp[0][2]/determinanA;
temp[1][0]=temp[1][0]/determinanA;
temp[1][1]=temp[1][1]/determinanA;
temp[1][2]=temp[1][2]/determinanA;
temp[2][0]=temp[2][0]/determinanA;
temp[2][1]=temp[2][1]/determinanA;
temp[2][2]=temp[2][2]/determinanA;
System.out.println ();
System.out.println ("Invers Matriks A : ");
for (int i=0;i<3;i++)
{
System.out.print("| ");
for (int j=0;j<3;j++)
{
System.out.print(temp[i][j]+" ");
}
System.out.println("|");
}
}
int deta=(B[0][0]*B[1][1]*B[2][2])+
(B[0][1]*B[1][2]*B[2][0])+
(B[0][2]*B[1][0]*B[2][1]);
int detb=(B[0][1]*B[1][0]*B[2][2])+
(B[0][0]*B[1][2]*B[2][1])+
(B[0][2]*B[1][1]*B[2][0]);
int determinanB = deta - detb;
int tempp[][]=new int[3][3];
tempp[0][0]=B[1][1]* B[2][2]-B[2][1]*B [1][2];
tempp[0][1]=B[1][0]* B[2][2]-B[2][0]*B [1][2];
tempp[0][2]=B[1][0]* B[2][1]-B[1][1]*B [2][0];
tempp[1][0]=B[0][1]* B[2][2]-B[0][2]*B [2][1];
tempp[1][1]=B[0][0]* B[2][2]-B[0][2]*B [2][0];
tempp[1][2]=B[0][0]* B[2][1]-B[0][1]*B [2][0];
tempp[2][0]=B[1][1]* B[2][2]-B[1][2]*B [2][1];
tempp[2][1]=B[0][0]* B[1][2]-B[0][2]*B [1][0];
tempp[2][2]=B[0][0]* B[1][1]-B[0][1]*B [1][0];
if (determinanB!=0)
{
tempp[0][0]=tempp[0][1]/determinanB;
tempp[0][2]=tempp[0][2]/determinanB;
tempp[1][0]=tempp[1][0]/determinanB;
tempp[1][1]=tempp[1][1]/determinanB;
tempp[1][2]=tempp[1][2]/determinanB;
tempp[2][0]=tempp[2][0]/determinanB;
tempp[2][1]=tempp[2][1]/determinanB;
tempp[2][2]=tempp[2][2]/determinanB;
System.out.println ();
System.out.println ("Invers Matriks B : ");
for (int i=0;i<3;i++)
{
System.out.print("| ");
for (int j=0;j<3;j++)
{
System.out.print(tempp[i][j]+" ");
}
System.out.println("|");
}
}
}
else if (menu == 8){
//eliminasi gaus
if (baris== 2 && kolom == 2){
System.out.println("Metode Eliminasi Gauss");
System.out.println("Matriks A");
System.out.println("| " + (Math.pow(A[0][0], 0))+ " " +A[0][1]+ " | ");
System.out.println("| " + (A[1][0]*0)+ " " +(Math.pow(A[1][1], 0))+ " | ");
System.out.println("Matriks B");
System.out.println("| " + (Math.pow(B[0][0], 0))+ " " +B[0][1]+ " | ");
System.out.println("| " + (B[1][0]*0)+ " " +(Math.pow(B[1][1], 0))+ " | ");
}
else {
System.out.println("Metode Eliminasi Gauss");
System.out.println("Matriks A");
System.out.println("| " + (Math.pow(A[0][0], 0))+ " " +A[0][1]+ " " + A[0][2]+ " | ");
System.out.println("| " + (A[1][0]*0)+ " " +(Math.pow(A[1][1], 0))+ " " + A[1][2]+ " | ");
System.out.println("| " + (A[2][0]*0)+ " " +A[0][1]*0+ " " + (Math.pow(A[2][2], 0))+ " | ");
System.out.println("Matriks B");
System.out.println("| " + (Math.pow(B[0][0], 0))+ " " +B[0][1]+ " " + B[0][2]+ " | ");
System.out.println("| " + (B[1][0]*0)+ " " +(Math.pow(B[1][1], 0))+ " " + B[1][2]+ " | ");
System.out.println("| " + (B[2][0]*0)+ " " +B[0][1]*0+ " " + (Math.pow(B[2][2], 0))+ " | ");
}}
else if (menu == 9){
//gauss jordan
if (baris == 2 && kolom == 2){
System.out.println("Metode Eliminasi Gauss Jordan");
System.out.println("Matriks A");
System.out.println("| " + (Math.pow(A[0][0], 0))+ " " +A[0][1]*0+ " | ");
System.out.println("| " + (A[1][0]*0)+ " " +(Math.pow(A[1][1], 0))+ " | ");
System.out.println("Matriks B");
System.out.println("| " + (Math.pow(B[0][0], 0))+ " " +B[0][1]*0+ " | ");
System.out.println("| " + (B[1][0]*0)+ " " +(Math.pow(B[1][1], 0))+ " | ");
}
else {
System.out.println("Metode Eliminasi Gauss Jordan");
System.out.println("Matriks A");
System.out.println("| " + (Math.pow(A[0][0], 0))+ " " +A[0][1]*0+ " " + A[0][2]*0+ " | ");
System.out.println("| " + (A[1][0]*0)+ " " +(Math.pow(A[1][1], 0))+ " " + A[1][2]*0+ " | ");
System.out.println("| " + (A[2][0]*0)+ " " +A[0][1]*0+ " " + (Math.pow(A[2][2], 0))+ " | ");
System.out.println("Matriks B");
System.out.println("| " + (Math.pow(B[0][0], 0))+ " " +B[0][1]*0+ " " + B[0][2]*0+ " | ");
System.out.println("| " + (B[1][0]*0)+ " " +(Math.pow(B[1][1], 0))+ " " + B[1][2]*0+ " | ");
System.out.println("| " + (B[2][0]*0)+ " " +B[0][1]*0+ " " + (Math.pow(B[2][2], 0))+ " | ");
}}
else {
//crammer
System.out.println("Metode Crammer");
//determinan matriks A
int detA=(A[0][0]*A[1][1]*A[2][2])+
(A[0][1]*A[1][2]*A[2][0])+
(A[0][2]*A[1][0]*A[2][1]);
int detB=(A[0][1]*A[1][0]*A[2][2])+
(A[0][0]*A[1][2]*A[2][1])+
(A[0][2]*A[1][1]*A[2][0]);
int determinanA = detA - detB;
//determinan matriks b
int deta=(B[0][0]*B[1][1]*B[2][2])+
(B[0][1]*B[1][2]*B[2][0])+
(B[0][2]*B[1][0]*B[2][1]);
int detb=(B[0][1]*B[1][0]*B[2][2])+
(B[0][0]*B[1][2]*B[2][1])+
(B[0][2]*B[1][1]*B[2][0]);
int determinanB = deta - detb;
if (detA == 0){
System.out.println("Metode crammer tidak dapat dikerjakan");
}
else {
int b1 = Integer.parseInt(JOptionPane.showInputDialog("masukkan b1 :"));
int b2 = Integer.parseInt(JOptionPane.showInputDialog("masukkan b2 :"));
int b3 = Integer.parseInt(JOptionPane.showInputDialog("masukkan b3 :"));
//matriks A1
int detA1 = (b1*A[1][1]*A[2][2])+
(A[0][1]*A[1][2]*b3)+
(A[0][2]*b2*A[2][1]);
int det=(A[0][1]*b2*A[2][2])+
(b1*A[1][2]*A[2][1])+
(A[0][2]*A[1][1]*b3);
int deterA = detA1 - det ;
// A2
int detA2 = (A[0][0]*b2*A[2][2])+
(b1*A[1][2]*A[2][0])+
(A[0][2]*A[1][0]*b3);
int det2=(b1*A[1][0]*A[2][2])+
(b3*A[1][2]*A[0][0])+
(A[0][2]*b2*A[2][0]);
int deterA2 = detA2 - det2 ;
//A3
int detA3 = (A[0][0]*b3*A[1][1])+
(b2*A[0][1]*A[2][0])+
(A[1][2]*A[1][0]*b1);
int det3=(b3*A[1][0]*A[0][1])+
(b2*A[2][1]*A[0][0])+
(A[1][1]*b1*A[2][0]);
int deterA3 = detA3 - det3 ;
//matriks B1
int detB1 = (b1*A[1][1]*B[2][2])+
(B[0][1]*B[1][2]*b3)+
(B[0][2]*b2*B[2][1]);
int dettB=(B[0][1]*b2*B[2][2])+
(b1*B[1][2]*B[2][1])+
(B[0][2]*B[1][1]*b3);
int deterB = detB1 - dettB ;
// B2
int detB2 = (B[0][0]*b2*B[2][2])+
(b1*B[1][2]*B[2][0])+
(B[0][2]*B[1][0]*b3);
int deT2=(b1*B[1][0]*B[2][2])+
(b3*B[1][2]*B[0][0])+
(B[0][2]*b2*B[2][0]);
int deterB2 = detB2 - deT2 ;
//B3
int detB3 = (B[0][0]*b3*B[1][1])+
(b2*B[0][1]*B[2][0])+
(B[1][2]*B[1][0]*b1);
int deT3=(b3*B[1][0]*B[0][1])+
(b2*B[2][1]*B[0][0])+
(B[1][1]*b1*B[2][0]);
int deterB3 = detB3 - deT3 ;
float A1 = deterA/determinanA ;
float A2 = deterA2/determinanA;
float A3 = deterA3/determinanA;
float B1 = deterB/determinanB ;
float B2 = deterB2/determinanB ;
float B3 = deterB3/determinanB ;
System.out.println("Penyelesaian MAtriks A dengan Metode Crammer didapatkan :");
System.out.println(" x1 =" +A1 + " x2 =" + A2 + " x3 =" +A3 );
System.out.println("Penyelesaian Matriks B dengan Metode Crammer didapatkan :");
System.out.println(" x1 =" +B1 + " x2 =" + B2+ " x3 =" +B3 );
}
}
}
}
