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# 11. Exercise 11 on page 565 _ This problem continues the development of ideas for Theorem 1 on page 551. Repeat the procedure Exercise 10 on page 565, but using t...

## Question

###### 11. Exercise 11 on page 565 _ This problem continues the development of ideas for Theorem 1 on page 551. Repeat the procedure Exercise 10 on page 565, but using the table below where symbols have replaced the numbers_ The notation in part uses a6t to indicate the number of one-step walks from node 6 to node t, and bt3 for the number of four-step walks from node to node 3. Using the similar notation of a8t to indicate the number of one-step walks from node 8 to node t, and bt2 for the number of

11. Exercise 11 on page 565 _ This problem continues the development of ideas for Theorem 1 on page 551. Repeat the procedure Exercise 10 on page 565, but using the table below where symbols have replaced the numbers_ The notation in part uses a6t to indicate the number of one-step walks from node 6 to node t, and bt3 for the number of four-step walks from node to node 3. Using the similar notation of a8t to indicate the number of one-step walks from node 8 to node t, and bt2 for the number of four-step walks from node to node 2. write a formula for the number of five-step walks from node 8 to node 2_ Generalize to obtain a formula for the number of five-step walks from node to node j Fill in the blanks_ If M is the adjacency matrix for the graph_ the first table in part gives rOw of M and the second table gives column of M". Node Number bj b1 bu b41 0s1 bos bu bxa byj Node Number @ol doz Oad Un5 067 Uot Uta

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