Another digraph example is the hyperlink structure of the World Wide Web. Letting the vertices x1; : :;xn correspond to web pages, and using arrows to indicate when one page has a hyperlink to another, yields a digraph like the one in Figure. x3 X4 X7 X2 X5 X6 In 1995, two students at Stanford, Larry Page and Sergey Brin, ultimately became multibillionaires from the realization of how useful the structure of this graph could be in building a search engine. 1. Find the Adjacenty Matrix. A 2. Find A, A^2, A^3, A^4, ... 3. Interpret the element on row 3, column 2 in A^6. 4. Without calculation estimate the 1th row, and 1th column in lim(A^n) as n->oo