Maxel Theory: New Thinking About Matrices - Math Foundations 166

Explore the innovative concept of Maxel theory in this 33-minute lecture from the Math Foundations series. Dive into a pixel-by-pixel approach to matrix theory that breaks free from traditional rectangular array boundaries. Learn about maxels as msets of pixels, their algebraic properties reflecting label space geometry, and their realm-forming capabilities under various operations. Discover a unique multiplicative structure rooted in pixel-level interactions, featuring an intriguing empty aspect rarely seen in modern mathematics. Gain insights into applications in linear algebra and understand how this new thinking challenges conventional matrix theory.

Introduction
Definitions
Pixels
Maxel
Empty Maxel
The realm of Maxwells
Applications to linear algebra
Multiplication