Consider the directed graph on the right and take the jumping probability $=0\mathrm{.}3.$ Answer the following questions about PageRank for this graph $(2$ points for each correct answer$).1.$ What is the matrix $$ for the random walk on the graph? $2.$ What is the matrix $1$ corresponding the first step of adjustment? $3.$ What is the matrix $2$ corresponding to the second step of adjustment? $4.$ Which of the following vectors is a stationary distribution vector for $2?$ a$.(0\mathrm{.}4706,0\mathrm{.}2647,0\mathrm{.}2647)$ b$.(0\mathrm{.}2647,0\mathrm{.}4706,0\mathrm{.}2647)$ c$.(0\mathrm{.}2647,0\mathrm{.}2647,0\mathrm{.}4706)$ d$.(0\mathrm{.}2647,0\mathrm{.}4706,0\mathrm{.}4706)$ e$.(0\mathrm{.}4706,0\mathrm{.}2647,0\mathrm{.}4706)$ f$.(0\mathrm{.}4706,0\mathrm{.}4706,0\mathrm{.}2647)$