Question: Consider the network below: d g a h f (a) Write down the node-node adjacency matrix for the given network using the formula 1,

Consider the network below: d g a h f (a) Write down the node-node adjacency matrix for the given network using the formula 1, if nodes i and j are connected by an edge 0, otherwise. A = [aij], Aij = Index your rows and columns alphabetically from a to h. (b) Without doing any matrix multiplication, write down the top row of A2, and explain your reasoning. (c) Draw a tree, with root a, indicating the shortest path from a to all the other nodes. (d) Using the data in your tree, employ the recursive algorithm from class to compute the number of shortest paths from a to h. (e) Without doing any matrix multiplication, state the entry in the row of node a and the column of node h in A.

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