내 3x3 매트릭스 프로그램의 역 부분?

Question

나는 매트릭스의 역함수를 찾고 싶어하는 3x3 매트릭스 프로그램을 가지고있다. 명령어는 C가 B의 역이라고 말한다; 즉, C * B = B * C = 1, 여기서 1은 단위 행렬입니다. 나는 간단한이 아마 뭔가를 알고 있지만 난 그냥 여기

로 이동 도움이나 지침이 필요하면 코드입니다 :

import java.util.Scanner; 
import java.lang.*; 
import java.io.*; 
import java.text.*; 
import java.lang.Math.*; 
import java.text.DecimalFormat; 
import java.lang.String; 

public class Program9 
{ 
    static Scanner scan= new Scanner(System.in); 
    public static void main(String[] args) 
    {  
     Scanner scan= new Scanner(System.in); 
     int[][]A=new int[3][3]; 
     int[][]B=new int[3][3]; 
     int[][]C=new int[3][3]; 
     int i, j, num; 

     do 
     { 
     System.out.println("--------------------------------------"); 
     System.out.println("-   MAIN MENU    -"); 
     System.out.println("- 1. INPUT FOR MATRIX A & B   -"); 
     System.out.println("- 2. REPLACE MATRIX A=C    -"); 
     System.out.println("- 3. ADD MATRIX A+B=C    -"); 
     System.out.println("- 4. SUBTRACT MATRIX A+B=C   -"); 
     System.out.println("- 5. MULTIPLY 3 TO MATRIX A   -"); 
     System.out.println("- 6. MULTIPLY MATRIX A*B   -"); 
     System.out.println("- 7. REPLACE MATRIX C=0    -"); 
     System.out.println("- 8. REPLACE MATRIX C=1    -"); 
     System.out.println("- 9. IDENTITY MATRIX    -"); 
     System.out.println("- 10. TRANSPOSE MATRIX A    -"); 
     System.out.println("- 11. QUIT       -"); 
     System.out.println("--------------------------------------"); 
     System.out.println(); 

     System.out.print("Please enter a number: "); 
     num= scan.nextInt(); 

     switch(num) 
     { 
      case 1: input(A, B); 
       break; 
      case 2: replaceA (A); 
       break; 
      case 3: add(A, B); 
       break; 
      case 4: subtract(A, B); 
       break; 
      case 5: multiply3(A); 
       break; 
      case 6: multiplyAB(A,B); 
       break; 
      case 7: replace0(); 
       break; 
      case 8: replace1(); 
       break; 
      case 9: identity(); 
       break; 
      case 10: trans(A); 
       break; 
      case 11: inverse(B); 
       break; 
      case 12: System.out.println("Hope you enjoyed the program"); 
       break; 
      default: System.out.println("Please enter a number"); 
       break; 
     } 
     } 
     while(num !=11); 
    } 
    public static void input(int[][] a, int[][] b) 
    { 
     int i; 
     int j; 
     System.out.print("Enter numbers into the matrix for matrix A: "); 
     for(i=0;i<3;i++) 
     for(j=0;j<3;j++) 
      a[i][j]=scan.nextInt(); 
     System.out.println(); 

     System.out.print("Enter numbers into the matrix for matrix B: "); 

     for(i=0;i<3;i++) 
     for(j=0;j<3;j++) 
      b[i][j]=scan.nextInt(); 

     System.out.printf("%15s%n", "Matrix A"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", a[i][j]); 
     } 
     System.out.println(); 
     } 
     System.out.printf("%15s%n", "Matrix B"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", b[i][j]); 
     } 
     System.out.println(); 
     } 
    } 
    public static void replaceA(int[][] a) 
    { 
     int[][] C= new int[3][3]; 
     int i, j; 

     System.out.printf("%15s%n", "Matrix C"); 

     for(i=0;i<3;i++) 
     for(j=0;j<3;j++) 
      C[i][j]=a[i][j]; 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", C[i][j]); 
     } 
     System.out.println(); 
     } 
    } 
    public static void add(int[][] a, int[][] b) 
    { 
     int[][] C= new int[3][3]; 
     int i, j; 

     for(i=0;i<3;i++) 
     for(j=0;j<3;j++) 
      C[i][j]=a[i][j] + b[i][j]; 

     System.out.printf("%15s%n", "Matrix A"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", a[i][j]); 
     } 
     System.out.println(); 
     } 

     System.out.printf("%15s%n", "Matrix B"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", b[i][j]); 
     } 
     System.out.println(); 
     } 
     System.out.printf("%15s%n", "Matrix C"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", C[i][j]); 
     } 
     System.out.println(); 
     } 
    } 
    public static void subtract(int[][] a, int[][] b) 
    { 
     int[][] C= new int[3][3]; 
     int i, j; 

     for(i=0;i<3;i++) 
     for(j=0;j<3;j++) 
      C[i][j]=a[i][j] - b[i][j]; 

     System.out.printf("%15s%n", "Matrix A"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", a[i][j]); 
     } 
     System.out.println(); 
     } 

     System.out.printf("%15s%n", "Matrix B"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", b[i][j]); 
     } 
     System.out.println(); 
     } 
     System.out.printf("%15s%n", "Matrix C"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", C[i][j]); 
     } 
     System.out.println(); 
     } 
    } 
    public static void multiply3(int[][] a) 
    { 
     int[][] C= new int[3][3]; 
     int i, j; 

     for(i=0;i<3;i++) 
     for(j=0;j<3;j++) 
      C[i][j]=a[i][j] * 3; 

     System.out.printf("%15s%n", "Matrix A"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", a[i][j]); 
     } 
     System.out.println(); 
     } 

     System.out.printf("%15s%n", "Matrix A times 3"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", C[i][j]); 
     } 
     System.out.println(); 
     } 
    } 
    public static void multiplyAB(int[][] a, int[][] b) 
    { 
     int[][] C= new int[3][3]; 
     int i, j; 

     for(i=0;i<3;i++) 
     C[i][0] = (a[0][0]*b[0][i]) + (a[i][1]*b[1][0]) + (a[i][2]*b[2][0]); 
     for(i=0;i<3;i++) 
     C[i][1] = (a[1][0]*b[0][i]) + (a[1][1]*b[1][i]) + (a[1][2]*b[2][i]); 
     for(i=0;i<3;i++) 
     C[i][0] = (a[2][0]*b[0][i]) + (a[2][1]*b[1][i]) + (a[2][2]*b[2][i]); 


     System.out.printf("%15s%n", "Matrix A"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", a[i][j]); 
     } 
     System.out.println(); 
     } 

     System.out.printf("%15s%n", "Matrix B"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", b[i][j]); 
     } 
     System.out.println(); 
     } 
     System.out.printf("%15s%n", "Matrix A*B"); 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", C[i][j]); 
     } 
     System.out.println(); 
     } 
    } 
    public static void replace0() 
    { 
     int[][] C= new int[3][3]; 
     int i, j; 
     System.out.printf("%15s%n", "Matrix C"); 

     for(i=0;i<3;i++) 
     for(j=0;j<3;j++) 
      C[i][j]=0; 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", C[i][j]); 
     } 
     System.out.println(); 
     } 
    } 
    public static void replace1() 
    { 
     int[][] C= new int[3][3]; 
     int i, j; 
     System.out.printf("%15s%n", "Matrix C"); 

     for(i=0;i<3;i++) 
     for(j=0;j<3;j++) 
      C[i][j]=1; 

     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", C[i][j]); 
     } 
     System.out.println(); 
     } 
    } 
    public static void identity() 
    { 
     int[][] C = new int[3][3]; 
     int i, j; 
     System.out.printf("%15s%n", "Matrix C"); 

     for(i=0; i<3; i++) 
     { 
     for(j=0; j<3; j++) 
     { 
      if(i == 0 && j == 0) 
       C[0][0]=1; 
      else if(i == 1 && j == 1) 
       C[1][1]=1; 
      else if(i == 2 && j == 2) 
       C[2][2]=1; 
      else 
       C[i][j]=0; 
     } 
     } 
     for(i=0;i<3;i++) 
     { 
     for(j=0;j<3;j++) 
     { 
      System.out.printf("%5d", C[i][j]); 
     } 
     System.out.println(); 
     } 
    } 
    public static void trans(int[][] a) 
    { 
     int[][] C= new int[3][3]; 
     int i,j; 
     int temp=0; 

     for(i=0;i<3;i++) 
     { 
     temp= a[i][0]; 
     a[i][0] = a[0][i]; 
     a[0][i]=temp; 
     } 
     for(i=1;i<=2;i++) 
     { 
     temp=a[i][1]; 
     a[i][1]= a[1][i]; 
     a[1][i]= temp; 
     } 
     System.out.printf("%15s%n", "Matrix C"); 
     for(i=0; i<3; i++) 
     for(j=0; j<3; j++) 
      C[i][j]= a[i][j]; 
     for(i=0; i<3; i++) 
     { 
     for(j=0; j<3; j++) 
     { 
      System.out.printf("%5d", C[i][j]); 
     } 
     System.out.println(); 
     } 
    } 
    public static void inverse(int[][] b) 
    { 
     int[][] C= new int[3][3]; 
     int i, j; 
    } 
} 

Answer 1

그냥 한 줄은 충분하다.

System.out.println(new LUDecompositionImpl(
MatrixUtils.createRealMatrix(new double[][] { { 1, 2 }, { 3, 4 } }) 
).getSolver().getInverse());