Matrix inverse.

Description
Non commutativity of matrix multiplication is shown with example. Inverse of a matrics is defined and the conditions required of a matrix to have its inverse are stated. Theorems based on the criterion of existence of inverse matrix are stated and proved. Application of Gauss - Jordan algorithm to calculate inverse of a function is shown through example in this lecture note.
Prof. James McKernan, Maths, 18.024. Calculus with Theory II, Spring 2003: The inverse of a matrix: Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed October19, 2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc