##### Exercise5

Explain your responses to the following.

1. Why does Google use a Markov chain to compute the PageRank vector?

2. Describe two problems that can happen when Google constructs a Markov chain using the Google matrix $$G\text{.}$$

3. Describe how these problems are consistent with the Perron-Frobenius theorem.

4. Describe why the Perron-Frobenius theorem suggests creating a Markov chain using the modified Google matrix $$G' = \alpha G + (1-\alpha)H_n\text{.}$$

in-context