Matrix Fundamentals

Welcome to the fundamentals section! Here you’ll build a solid understanding of what matrices are and how they work.

What You’ll Learn

We’ll start from the very beginning and work our way up to understanding matrices as powerful transformation tools. Each topic builds on the previous one, so if you’re new to matrices, work through them in order.

Topics

• What is a Matrix?
• Vectors
• Matrix Shape and Size
• Matrix Addition
• Matrix Multiplication
• Matrices as Transformations

Learning Approach

We focus on intuition first, then formalism. You’ll see:

• Visual examples and diagrams

• Concrete numerical examples

• Python code you can run and modify

• Mathematical notation (after you understand the concept)

Don’t worry if you’re not a math expert—this guide is designed for practical understanding. If you can understand a spreadsheet, you can understand matrices.

Prerequisites

All you need is:

• Basic arithmetic (addition, multiplication)

• Curiosity about how things work

• Python basics (optional, but helpful for the code examples)

Next Steps

Start with What is a Matrix? to learn what matrices are and why they’re useful.