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Every photo is secretly a list of 786,432 numbers. Every word becomes a point in 768-dimensional space. Every AI prediction starts with a dot product. In this episode, we visualize the three foundational ideas of modern AI — vectors, dot products, and matrix transformations — and show why they power everything from ChatGPT to Netflix recommendations. 📐 What you'll learn: 0:00 — Why AI sees everything as numbers 0:44 — Three ways to see a vector 1:33 — From pixels to 786,000 dimensions 2:24 — The dot product: AI's similarity engine 3:23 — Matrices as space-transforming machines 4:42 — Matrix multiplication in deep networks 5:51 — Why these ideas scale to any dimension 6:40 — Recap: The complete picture 🔗 Series: The Math Behind AI This is Episode 1 of a visual journey through the mathematics powering modern artificial intelligence. No prerequisites — just curiosity. → Episode 2: Gradient Descent — How AI Learns from Its Mistakes → Episode 3: Bayes' Theorem — How AI Handles Uncertainty Subscribe and hit the notification bell for new episodes every week. #TheMathBehindAI #LinearAlgebra #MachineLearning #Vectors #Matrices #3Blue1Brown #AIExplained #NeuralNetworks #DeepLearning #MathAnimation