Date & Time: Wednesday, January 20, 2016, 16:00-17:00.
Venue: Ramanujan Hall
Speaker: Sudhir Kulkarni,
Indian Institute of Technology Madras
Title: The Nullity Theorem, its Generalization and Applications
Abstract: The nullity theorem says that certain pairs of submatrices of a square invertible matrix and its inverse (known as complementary submatrices) have the same nullity. Though this theorem has been around for quite some time and also has found several applications, some how it is not that widely known. We give a brief account of the Nullity Theorem, consider its generalization to infnite dimensional spaces and discuss some applications.