Matrices and the system of linear equations.

Description
Addition of two matrices and product of two matrices are defined. The properties of matrix multiplication such as distributivity, homogenity, assosiativity, existence of identities etc. are discussed. The system of linear equations is written in the matrix form and is analysed also the general solution of this equation is explained. Consistency and Inconsistency of the system of linear equations are explained. Homogeneous system of equation and the rank of a matrix are defined.
Prof. James McKernan, Maths, 18.024. Calculus with Theory II, Spring 2003: Matrices: 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