Search engines are fascinating constructs that search through billions of web pages to find ones matching an individual's search in seconds. Google has mastered this technique, and surpassed its competitors by implementing a PageRank algorithm that sorts the search from the most highly ranked to the lowest ranked. Oftentimes in a Google search, the page one is looking for is right at the top. The makers of Google, Sergey Brin and Lawrence Page have used the properties of Markov Chain Theory and Linear Algebra and applied it to their Google Matrix. The genius behind the "Google Matrix" is explored in depth as well as methods of computing the PageRank for a web of 25 billion pages and growing.