Linear Equations
Covers section 1 chapter 1 of Lay's Linear Algebra and Its Application
A personal collection of notes, essays, and interactive experiments across the topics I’m studying. Some posts include runnable Python and hands-on tools.
Covers section 1 chapter 1 of Lay's Linear Algebra and Its Application
Geometric intuition for when a linear system has one solution, none, or infinitely many — and how the null space describes that whole family of solutions. With an interactive visualizer.
Matrices aren't just grids of numbers — they represent linear maps. Composition, rotation, scaling, and why matrix multiplication is defined the way it is.
The building blocks — vectors, linear combinations, span, and what it means for a set of vectors to be a vector space.
A deep dive into the transformer architecture — from the core self-attention mechanism to why positional encodings matter, with interactive Python visualizations.