The following matrices describe the relationship "friendship" between groups of people

Chapter 2, Problem 14

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The following matrices describe the relationship "friendship" between groups of people. aii = 1 if M; is a friend of M j ; aii = 0 otherwise. Draw the digraphs that describe these relationships. Note that all the matrices are symmetric. What is the significance of this symmetry? Can such a relationship be described by a matrix that is not symmetric? ) A = 0 0 0 0 0 0 (b) A= O 1 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0

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