Coming Soon · Early Access

Matrix Intuition
for Transformer

Understand every matrix operation in attention, FFN, and beyond — without proofs. A visual, code-first guide to the matrices inside the Transformer.

1503+ Readers subscribed
9 Chapters
60+ Code examples

Who this book is for

✅ Read this if you

  • Are learning Transformers or LLMs
  • Can write PyTorch but freeze at the math
  • Want to understand QKV, QKᵀ, and attention
  • Prefer intuition and code over proofs
  • Want to know what each matrix actually does

❌ Skip this if you

  • Want a rigorous linear algebra textbook
  • Already understand attention math deeply
  • Are looking for a full deep learning course
  • Don't write code
  • Want theory without implementation

What's inside

Nine chapters. Each one follows the Transformer's data flow — from tokens to output.

00

Before We Start

The map of the whole pipeline

01

Embedding

Turning tokens into matrices

02

Matrix Multiplication

Linear transformations in nn.Linear

03

QKV

The three projection matrices

04

QKᵀ

Dot product, transpose, similarity

05

Softmax + Weighted Sum

From scores to probabilities

06

Multi-Head Attention

Tensors, slicing, concatenation

07

Feed-Forward Network

Expand, activate, project back

08

LayerNorm + Residual

Stabilizing the matrix flow

09

Putting It All Together

The full Transformer block

Read a free chapter

Get Chapter 0 — “Before We Start” and Chapter 4 — “QKᵀ” — two chapters that show how the whole book works.

Q = X @ W_q
K = X @ W_k

# attention scores
scores = Q @ K.transpose(-2, -1) / sqrt(d_k)
# shape: (batch, heads, seq, seq)

Early readers

“Follows the Transformer data flow chapter by chapter. By the end, you can read the architecture diagram and know what every matrix is doing.”

Omar Hassan AI Engineer

“Multi-head attention used to feel like magic. After this book, it is just tensor reshaping — and I can debug it myself now.”

Sara Müller ML Researcher

“The QKᵀ chapter is the clearest explanation of attention scores I have ever read. I finally understand why we transpose K.”

Daniel Kim LLM Engineer

Matrix Intuition for Transformer

Understand every matrix operation in attention, FFN, and beyond — without proofs

  • 📘 9 chapters, ~120 pages PDF
  • 💻 60+ PyTorch code examples
  • 📐 Visual intuition, no proofs
  • 🔄 Free lifetime updates
  • 📄 Bonus: Transformer matrix cheat sheet
Coming Soon

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About the author

Hi, I'm Flynn Wang. I write about the math behind modern AI — the parts that actually matter when you're building with transformers, LLMs, and robots. No proofs, no gatekeeping. Just intuition, code, and the shortest path to understanding.

This is the second book in the Matrix Intuition series. The first, Matrix Intuition for AI Practitioners, is available now.