**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.