April 2012
Intermediate to advanced
496 pages
12h 21m
English
Content preview from Mathematical Foundations of Computer NetworkingBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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3. Linear Algebra
This chapter presents the essentials of linear algebra. Starting with a basic introduction to vectors and matrices, we study operations on matrices. Next, we study a linear combination of vectors that underlies the important concepts of matrix rank and independence. We then use these concepts to study the solution of systems of linear equations. Linear algebra plays a critical role in modeling processes as linear transformations, which we study next. We focus on an intuitive understanding of eigenvalues and eigenvectors. We conclude with a description of stochastic matrices that arise frequently in models of computer networking systems.
3.1. Vectors and Matrices
Consider two runs of an experiment in which a researcher collects ...
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