Consider a network composed of 3 agents with the following links: 12, 23 31. Compute (a) the betweenness centrality [2 pt.]; (b) the eigenvector centrality (show all the necessary algebraic steps) [3 pt.]; (c) the Bonacich centrality with 8 = 0.2 (show all the necessary algebraic steps) [3 pt.]. (d) What can you say about individual clustering? what if a new node, 4, enters in the network and connects with agent 3? [2 pt.]