Overview
Explore the intricate world of chromogeometry in this 38-minute video lecture from the Wild Linear Algebra series. Delve into the three-fold symmetry involving Euclidean and relativistic geometries within 2x2 matrices. Examine subalgebras of the 2x2 matrix algebra, focusing on red and green analogs of complex numbers called complexions. Discover the unique dot product in the Dihedrons algebra, derived from the determinant's quadratic nature. Gain insights into this four-dimensional algebra, drawing parallels to quaternions. Enhance your understanding of advanced linear algebra concepts through this in-depth exploration of chromatic algebra and its geometric implications.
Syllabus
The chromatic algebra of 2x2 matrices II | Wild Linear Algebra B 42 | NJ Wildberger
Taught by
Insights into Mathematics