Theory of Intelligence
MATH FOR AI•Linear Algebra•Vectors•1.1 What Is a Vector?

Introduction

Three ways to see a vector — arrow, list of numbers, abstract object — and why ML stores data as vectors.

Introduction

Almost everything a machine-learning model touches is a vector: a photo, a sentence, a customer, the weights of a neural network, the direction a model should move while learning. Before any formula, it helps to know that the word "vector" is used in three different but connected ways:

  • a physicist sees an arrow with a length and a direction,
  • a programmer sees an ordered list of numbers,
  • a mathematician sees any object you can add and scale.

All three views are correct, and switching between them is a skill you will use constantly. This topic builds each view and then connects them to data.

Discuss theoretical concepts, mathematical formulas, and architectural foundations.

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