please show all the steps as well Considering the social network in the following figure

a$.$ Construct the sociomatrix

b$.$ You may not be able to identify perfectly structurally equivalent subsets. Compute the

Euclidean distance of the actors in the social network. Use hierarchical clustering to

identify the subsets of actors $($indicate your threshold$).$

c$.$ Partition the socio matrix by the identified subsets

d$.$ Construct the density matrix

e$.$ Use the $$ density rule to construct the image matrix $($use the overall density of the

network from $1c$ as threshold$)$

f$.$ Draw the reduced network

Does the reduced network in Question $1f$ have any theoretically important structural properties

such as cohesive subgroups, center$-$periphery structure, centralized system, hierarchy, or

transitive system? Can you discuss the properties of this reduced graph?