Click here for introduction to this series and motivation. Linear Algebra Basics There are two ways to look at matrices. One view is about a matrix representing some data (to be covered in later part of this series) Another view is: matrix encodes the operation of a linear system on its inputs. In this (3) view, a matrix represents a linear map. Matrix-vector multiplication is taking a vector represented in one coordinate system and transforming it to vector in another co-ordinate systems.