Question $1$

For each exercise below, assume that each incidence matrix uses the conventions discussed in class. Recall that the rows represent vertices arranged in lexicographical order of their labels from top$-$to$-$bottom. Further, recall that the columns represent the edges with their endpoints in lexicographical order, for undirected graphs, and the edges are arranged in lexicographical order from left$-$to$-$right for both undirected graphs and digraphs. Enter $8e88$ to denote $,$ where applicable.

A$.$ Complete the adjacency matrix of the graph whose incidence matrix is shown below below. $[10$ points$]$

$([1,1,1,0,0,0],[0,0,0,1,1,0],[1,0,0,0,0,1],[0,1,0,1,0,0],[0,0,1,0,1,1])$

Corresponding Adjacency Matrix