📅 2024-08-29 — Session: Implemented and Verified Change of Basis in Python
🕒 17:45–18:00
🏷️ Labels: Python, Linear Algebra, Change Of Basis, Debugging, Numpy, Sympy
📂 Project: Dev
⭐ Priority: MEDIUM
Session Goal
The session aimed to implement and verify the change of basis matrix calculation and transformation using Python, focusing on error analysis and debugging.
Key Activities
- Change of Basis Matrix Calculation: Detailed step-by-step breakdown of calculating the change of basis matrix from one basis to another, including error analysis.
- Python Implementation: Developed Python code to compute and verify the change of basis matrix, utilizing print statements for debugging and verification.
- Error Diagnosis: Identified inconsistencies and potential sources of error in vector transformations between basis sets.
- Verification: Verified the change of basis using Python, demonstrating transformations between different bases and back to the canonical basis.
- Advanced Techniques: Explored high-level approaches using NumPy and SymPy for streamlined change of basis operations.
Achievements
- Successfully implemented and verified the change of basis matrix calculation in Python.
- Enhanced understanding of error sources in basis transformations.
- Demonstrated effective use of Python libraries for linear algebra operations.
Pending Tasks
- Further exploration of optimization techniques for large-scale matrix operations.
- Integration of additional debugging tools for comprehensive error analysis.