NumPy Array Operations Mastery

Help me with NumPy operations for: [DESCRIBE YOUR USE CASE]

Current challenge:
```python
[PASTE YOUR CURRENT CODE OR DESCRIBE THE PROBLEM]
```

I need help with:
- [ ] Array creation and initialization
- [ ] Broadcasting operations
- [ ] Indexing and slicing
- [ ] Reshaping and stacking
- [ ] Linear algebra operations
- [ ] Statistical functions
- [ ] Performance optimization
- [ ] Memory efficiency

Provide optimized NumPy solutions with:
1. Multiple approaches compared
2. Performance benchmarks
3. Memory usage analysis
4. Vectorized alternatives to loops
5. Best practices for large arrays