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  1. public class Main {
  2.     public static void main(String[] args) {
  3.  
  4.         double[][] A = {
  5.             {2, 5},
  6.             {-3, 1}
  7.         };
  8.  
  9.         double[] B = {11, -4};
  10.  
  11.         System.out.println("Matrix A:");
  12.         printMatrix(A);
  13.  
  14.         System.out.println("\nVector B:");
  15.         for (double v : B) System.out.println(v);
  16.  
  17.         double detA = A[0][0] * A[1][1] - A[0][1] * A[1][0];
  18.         System.out.println("\nDeterminant of A: " + detA);
  19.  
  20.         if (detA == 0) {
  21.             System.out.println("Matrix is singular. No unique solution.");
  22.             return;
  23.         }
  24.  
  25.         double detA1 = B[0] * A[1][1] - A[0][1] * B[1];
  26.         double detA2 = A[0][0] * B[1] - B[0] * A[1][0];
  27.  
  28.         // Cramer's Rule solutions
  29.         double x1 = detA1 / detA;
  30.         double x2 = detA2 / detA;
  31.  
  32.         System.out.println("\nSolution using Cramer's Rule:");
  33.         System.out.println("x1 = " + x1);
  34.         System.out.println("x2 = " + x2);
  35.  
  36.         System.out.println("\nInverse of A:");
  37.         double[][] inverse = {
  38.             { A[1][1] / detA, -A[0][1] / detA },
  39.             { -A[1][0] / detA, A[0][0] / detA }
  40.         };
  41.         printMatrix(inverse);
  42.     }
  43.  
  44.     public static void printMatrix(double[][] m) {
  45.         for (double[] row : m) {
  46.             for (double val : row)
  47.                 System.out.printf("%10.4f ", val);
  48.             System.out.println();
  49.         }
  50.     }
  51. }
  52.  
Success #stdin #stdout 0.13s 56024KB
comments (?)
stdin 
Standard input is empty
stdout 
Matrix A:
    2.0000     5.0000 
   -3.0000     1.0000 

Vector B:
11.0
-4.0

Determinant of A: 17.0

Solution using Cramer's Rule:
x1 = 1.8235294117647058
x2 = 1.4705882352941178

Inverse of A:
    0.0588    -0.2941 
    0.1765     0.1176
https://ideone.com/ZQn2uE
language:
Java (HotSpot 12)
created:
2 days ago
visibility:
public

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