Add NumPy Linear Algebra Exploration for Issue #22

[Asmi768]

📝 CoC Python Workshop – Submission PR

---

👤 Student Details

• Name: Asmi Mohan
• GitHub Username: Asmi768
• University ID: PDAYBCA007
• Branch / Section: BCA (Hons) – 2nd Year

---

📂 Submission Details

• Folder Name: Asmi768_solutions
• Number of Files Changed/Added: 1

📄 List of Files Changed/Added

• Asmi768_solutions/numpy_linear_algebra_exploration.py – Demonstrates various NumPy linear algebra techniques

---

🛠 Description of Changes

This PR implements Issue #22 – NumPy Linear Algebra Exploration.

The following concepts have been demonstrated using only the numpy module:

• Solving linear systems using np.linalg.solve
• Manual implementation of LU Factorization
• Cholesky Decomposition using np.linalg.cholesky
• Determinant and Matrix Inverse
• Matrix Exponentiation using np.linalg.matrix_power
• Eigenvalues and Eigenvectors using np.linalg.eig
• Matrix Rank and Frobenius Norm

The code is modular, well-structured, and includes clear comments and docstrings for readability and educational clarity.

No external libraries were used other than NumPy, as specified in the issue.

---

✅ Self-Declaration

I confirm that:

• I have followed the repository submission guidelines.
• I worked on my own fork.
• I confirm my folder is correctly named.
• All changes are inside my Asmi768_solutions folder.
• I have tested my code before submission.
• This is my own work to the best of my knowledge.