Homework 1, Math 152-205, additional problem: For this problem, you should consult the class blog if you missed class on the first day. A network has two webpages, page A and page B. The links are as follows: Page A has 0 links to page A and 2 links to page B. Page B has 6 links to page A and 2 links to page B. (Part a) Denote the PageRanks of A and B by xA and xB . Explain intuitively what the meaning is of each of the following PageRank equations: xA + xB = 1 xA = (0/2) xA + (6/8) xB xB = (2/2) xA + (2/8) xB (Part b) Guess which webpage will have a higher page rank. (This is a guess; there are no right or wrong answers, the only wrong answer is not to make a guess.) (Part c) Solve these equations any way you want. Explain intuitively why one webpage has a higher page rank than the other (this should not be a guess). (Part d) If Page B has 6,000,000,000 links to page A but all other link numbers remain the same, what do you expect the PageRanks to be, roughly speaking? Which page will have the larger PageRank?