These talks will be self-contained presentations of mathematical concepts and theorems. They are intended to be accessible to all mathematics students.
 
 

An eigenvalue of a square matrix A is a number k such that Ax = kx for some nonzero vector x, and the corresponding x is called its eigenvector. Eigenvalues and eigenvectors have applications throughout mathematics and science. We show how to associate, to any 2-by-2 matrix A, a circle (the eigencircle) that can be used to illustrate and prove many properties of eigenvalues and eigenvectors using well-known results from classical geometry.

Convenor: Matthew Ovens