Chapter 6: Computational Algorithms in Linear Algebra

This chapter covers standard methods and algorithms of linear algebra commonly used in computer science and machine learning problems. Linear algebra centers on systems of equations, a problem where we need to find a set of numbers that solve not just one equation, but many equations simultaneously, using special types of arrays called matrices. Matrices can directly model tree, graph, and network structures that are central to so many computer science applications and the math behind Google's PageRank, among others, all ideas to which we will apply these ideas in later chapters. Systems of equations are key in regression analysis and machine learning.

We will delve into solving these systems of equations from both geometric and computational perspectives before scaling the methods up to solve larger problems with algorithms in Python, because the huge amount of work you would have to do to solve large problems by hand would...