Consider a mini internet with the five pages P$1$; P$2$; P$3$; P$4$; P$5.$ The following table give the pages$$a given page links to$.$Page Links to$$P$1$ P$1,$ P$2,$ P$4,$ P$5$P$2$ P$3,$ P$5$P$3$ P$2$P$4$ P$2,$ P$5$P$5$ P$3,$P$5$We define the relation L by xLy if x links to y$.($a$)$ Describe L by a directed graph.$($b$)$ Describe L be a matrix$($c$)$ Let bL$$be the relation linked from. We say xbLy if there is a link from y to x$.$ Describe bL$$by a$$matrix$.$ Compare this matrix with the matrix you got for L$.2$