$1.$ Five people are all connected by e$-$mail. Whenever one of them hears a juicy piece of gossip, he or she passes it along by e$-$mailing it to someone else in the group according to Table $3\mathrm{.}6.$

a$.$ Draw the digraph that models this $$gossip network$$ and find its adjacency matrix A$.$

Carla, Dana

Ann, Carla

Bert