Matrix Calculus

Jan 21, 2026 ML Math Derivations 30 min read

ML Math Derivations (2): Linear Algebra and Matrix Theory

The language of machine learning is linear algebra. This article derives vector spaces, eigendecomposition, SVD, and matrix calculus from first principles -- every tool you need for ML optimization.

Mar 12, 2025 Linear Algebra 30 min read

Essence of Linear Algebra (11): Matrix Calculus and Optimization — The Engine Behind Machine Learning

Adjusting the shower temperature is a tiny version of training a neural network: you change a parameter based on an error signal. Matrix calculus is the language that scales this idea to millions of parameters, and …