What's Next?

What's Next

You have built linear algebra from the ground up. Here are natural next steps:

• MicroGPT — Apply what you learned: attention is matrix multiplication, training is least-squares, and the model is a function of eigenvalues of the Hessian
• Statistics in Python — Regression, PCA in practice, and hypothesis testing built on these foundations
• Quantum Computing — Quantum states are unit vectors; quantum gates are unitary matrices; measurement is eigenvalue decomposition

Further Reading

• Introduction to Linear Algebra — Strang — The classic MIT textbook, free lectures online
• Numerical Linear Algebra — Trefethen & Bau — Algorithms with numerical stability analysis
• Matrix Computations — Golub & Van Loan — The definitive reference for numerical algorithms