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  1. import numpy as np
  2.  
  3. # Step 1: Read size of matrix
  4. n = int(input("Enter the order of square matrix: "))
  5.  
  6. # Step 2: Input Coefficient Matrix A and Constant Vector B
  7. print("Enter coefficients of matrix A:")
  8. A = []
  9. for i in range(n):
  10.     row = list(map(float, input().split()))
  11.     if len(row) != n:
  12.         print("Please enter exactly", n, "coefficients.")
  13.         exit()
  14.     A.append(row)
  15.  
  16. print("Enter constants of vector B:")
  17. B = list(map(float, input().split()))
  18. if len(B) != n:
  19.     print("Please enter exactly", n, "constants.")
  20.     exit()
  21.  
  22. A = np.array(A)
  23. B = np.array(B)
  24.  
  25. # Step 3: Calculate determinant of A
  26. detA = np.linalg.det(A)
  27. print("\nDeterminant of A: {:.3f}".format(detA))
  28.  
  29. # Step 4: Check solvability
  30. if detA == 0:
  31.     print("Matrix is singular; the system is not uniquely solvable.")
  32.     exit()
  33.  
  34. # Step 5: Solve using Cramer's Rule
  35. solution = []
  36. for i in range(n):
  37.     Ai = A.copy()
  38.     Ai[:, i] = B
  39.     detAi = np.linalg.det(Ai)
  40.     xi = detAi / detA
  41.     solution.append(xi)
  42.  
  43. # Step 6: Display the solution
  44. print("\nThe solution using Cramer's Rule:")
  45. for i, x in enumerate(solution):
  46.     print(f"x{i+1} = {x:.6f}")
  47.  
  48. # Step 7 & 8: Calculate and display inverse of A
  49. inverseA = np.linalg.inv(A)
  50. print("\nInverse of matrix A:")
  51. for row in inverseA:
  52.     print(" ".join(f"{val:.4f}" for val in row))
  53.  
Success #stdin #stdout 0.78s 41500KB
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Enter the order of square matrix: Enter coefficients of matrix A:
Please enter exactly 2 coefficients.
https://ideone.com/xmO3Fm
language:
Python 3 (python  3.12)
created:
8 days ago
visibility:
public

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