The Chromatic Algebra of 2x2 Matrices - Wild Linear Algebra B41

Explore the chromatic algebra of 2x2 matrices in this 32-minute lecture from the Wild Linear Algebra series. Delve into the three-fold symmetry of chromogeometry, examining Euclidean and relativistic geometries within the context of 2x2 matrices. Learn about subalgebras, complexions, and key concepts such as trace, determinant, and characteristic polynomials. Engage with an exercise introducing various dot products on the 2x2 matrix algebra. Gain insights into the intersection of linear algebra and geometry, enhancing your understanding of advanced mathematical concepts.

Introduction
What is an algebra
Sub algebras
Examples
Levels of arithmetic
Trace and characteristic polynomial
Trace theorem
Exercise