Consider the following scenario:

there are direct flights between Austria and each of Brazil, Canada and Denmark, but not with Ethiopia;

there is a direct flight between Brazil and Ethiopia;

Canada and Denmark are connected by a direct flight;

there are no other direct flights among these countries.

(a) Draw a graph representing this scenario;

(b) Derive the corresponding adjacency matrix M;

(c) Calculate M2; circle those elements in M2 that link Brazil and Canada, explain what their value represents in the context of the question.