Eigenvectors Real world application - Bart Allen Google...

Bart Allen 11/27/16
Google Page rank and
eigenvectors/values
Have you ever wondered, when you use google to search for anything, it has a hierarchy
of web pages that all relate to the question or thing you find? Or ranks pages based on how
closely related it is to the search you entered? This page rank by Google is known as the G oogle
page rank algorithm , which in fact uses eigenvectors and eigenvalues to rank pages based solely
on the search by the user. As a computer science/math person, this seems fascinating to where
Linear Algebra implements googles algorithm for their search engine. With the many uses of
eigenvectors and eigenvalues, I will explain how, and why they are useful and how they make
the search engine algorithm work.
Google’s page rank algorithm in simple makes use of matrices that allows the search data
to store as well as accessed from what the user decides to search. Based on what the user