Description
Popular Talk.
Speaker: Tejas Kotwal.
Date and Time: Wednesday 13 February, 4.00pm - 5.00pm.
Venue: Ramanujan Hall.
Title: Dynamics in Linear Algebra.
Abstract: In this talk, I shall first give an introduction to the subject
of dynamical systems. After going through a few concepts that arise in
dynamical systems through examples, we see how similar ideas can be
interpreted in the context of linear algebra. In particular, we deal with
finite dimensional complex vector spaces and end by understanding a simple
proof of the Cayley-Hamilton theorem. An interesting aspect of this
approach is that we can avoid the machinery of determinants altogether.