Linear AlgebraSep 19, 20262 min read
Linear Equations
Covers section 1 chapter 1 of Lay's Linear Algebra and Its Application
#linear algebra#linear equations
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6 posts total
Linear AlgebraJun 24, 20262 min read
Systems of Linear Equations and the Null Space
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.
#linear algebra#matrices#null space
Linear AlgebraJun 3, 20253 min read
Chapter 2: Matrices as Linear Transformations
Matrices aren't just grids of numbers — they represent linear maps. Composition, rotation, scaling, and why matrix multiplication is defined the way it is.
#linear-algebra#matrices#transformations
Linear AlgebraJun 1, 20252 min read
Chapter 1: Vectors and Vector Spaces
The building blocks — vectors, linear combinations, span, and what it means for a set of vectors to be a vector space.
#linear-algebra#vectors
AIMay 15, 20254 min read
Attention Is All You Need: The Paper That Changed Everything
A deep dive into the transformer architecture — from the core self-attention mechanism to why positional encodings matter, with interactive Python visualizations.
#transformers#nlp#deep-learning#attention
PhilosophyMay 1, 20255 min read
The Mind–Body Problem and What AI Forces Us to Rethink
Descartes drew a sharp line between mind and matter. Modern AI systems blur it. Does substrate matter for consciousness? A reading of Chalmers, Dennett, and some uncomfortable questions.
#consciousness#philosophy-of-mind#qualia#functionalism