### Introduction

Today we will discuss a not-so-famous method of inverting matrices. This method is recursive in the sense that given a method to find inverse of square matrix of order $ n$ it can be applied to find the inverse of a matrix of order $ (n + 1)$. This method is named*Partition Method or the Escalator Method*. The idea is to partition a matrix into smaller sub-matrices and then calculate the inverse from the given inverse of one of the smaller sub-matrices.