$(35$ points$)$ Given the adjacency matrix in Table $3,$ answer the following. In the matrix, a $1$ in row i and column $j$ means that there is an edge from vertex $i$ to vertex $j.$ For instance, there is an edge from $A$ to $B.$

Table $3$: Adjacency matrix for Q$.3$

$\backslash$table$[[,A,B,C,D,E,F$