''''Matricies Matricies Learning Objectives

Problem 1 of 1

A network of agents has been created according to the following conditions:

• Each agent can contact himself/herself directly.
• Agent A is able to contact Agents B and C directly.
• Agent B is able to contact Agents C and D directly.
• Agent C is able to contact Agent B directly.
• Agent D is able to contact Agents A and B directly.

(a) Determine a matrix to represent this network of agents.

(b) Determine a matrix that shows the number of ways one agent can contact another by using at most one intermediate agent.

(c) What is the least number of intermediate agents necessary for Agent C to contact Agent A? (Justify your answer.)

Solution

a) Matrix representing the network of agents.

 

 
 
b) Take the square of the Matrix M (above) to get the ways by using at most of intermediate agents.
 

 
 
C)
> Take cube of the above matrix.
 
 
 
 
 because A is able to contact agent C directly, and thats why the least # of
 of intermidiate agent C to contact agent A is 1.

edited by jessica

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