Question related to Directed Acyclic Graphs In an assignment I got a question, "Show that the strongly connected component of a DAG is also a DAG." Now I wasn't able to solve this. The problem I faced with this question was that the DAG is itself not a strongly connected directed graph then how can it have strongly connected components. The only strongly connected components it can have are itself the nodes. Was this the answer to the question.

Answer to both of your initial and renewed questions: Note that there is no directed circuit in a directed acyclic graph, hence a subgraph of a directed acyclic graph also has no directed circuit, and hence acyclic. Therefore, a stronly component or just a component must be also a directed acyclic graph.