ABSTRACT
Properties of linear transformations allow us to use a structure called a matrix as a compact representation for transforming vectors. A matrix is a simple two-dimensional (2D) array of values, but within it lies all the power of a linear transformation. Through simple operations we can use the matrix to apply linear transformations to vectors. We can also combine the two transformation matrices to create a new one that has the same effect of the first two. Using matrices effectively lies at the heart of the pipeline for manipulating virtual objects and rendering them on the screen.
