CHAPTER 15 — Product of Rectangular Matrices

This chapter discusses the product of two rectangular matrices. This product is an extension of the ideas of the previous chapter. Each element of the product is formed by a dot product.

Chapter Topics:

• Dimensions of matrices that can be multiplied.
• Element of result formed by dot product.
• Associative property.
• Not commutative.
• Distributive over addition.
• Product of zero matrix.

Matrix-matrix products are used in computer graphics to create the transformation matrices that operate on points and vectors. In a "first person game" such as DOOM the landscape is modeled with points and vectors. The constantly changing view you see as the hero moves through the landscape is created by transforming those points and vectors.