What We’ll Build Today
Set up Python for mathematical computations with NumPy
Create and manipulate vectors and matrices programmatically
Build a simple recommendation system using linear algebra operations
Why This Matters: The Mathematical Language of AI
Think of linear algebra as the vocabulary that AI systems use to understand data. When ChatGPT processes your question, it converts words into vectors of numbers. When a recommendation algorithm suggests your next Netflix show, it’s comparing vectors representing your preferences with vectors representing movies. Even image recognition works by treating each pixel as a number in a massive matrix.
Without linear algebra, AI would be like trying to build a house without knowing how to measure or cut wood. Every machine learning algorithm, from the simplest linear regression to the most complex neural network, speaks this mathematical language. Today, we’ll learn to speak it too.
