/ Matrices / Why do they work?

Preface

Transformation matrices are everyday tool in game development but many developers use them as a black box over decades. Most materials over the internet explain them in a difficult way which doesn't really demonstrate why bunch of number multiplications performs all the magic.

In this article I want to introduce an easy way to think about matrices that reveal their geometric meaning in a visual, intuitive & interactive way.

Prerequisites

Reader should be familiar with Vector Arithmetic. It would also be good to have a basic understanding of a matrices as a black box objects that store somehow linear transformations and can combine them by matrix multiplication operation.

Conventions

Anatomy of Matrix

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