The model introduced here in archaeology is used in sociology to analyze relationships within a group of people. For example, consider the relationship of "friendship" within a group. Assume that all friendships are mutual. Label the people 1, ... , n and define a square matrix A as follows: aii = 0 for all i (diagonal elements of A are zero) aii = O if i and j are not friends (a) Prove that if F = AA1, then fii is the number of friends that i and j have in common. DEFINITION (b) Suppose that all friendships are not mutual. How does this affect the model?

Calculus I Dr. Kontorovich Lecture 1 9/6/16 Information Document: https://content.sakai.rutgers.edu/access/content/group/e30e1ad4-4bcc-487a- b0e8-91721bbd23f4/info.html Summary: Exams: o October 11 (Midterm) o November 15 (Midterm) o December 19 (Final) o Weekly recitation quizzes Email: o Email TA, not professor Dr. Kontorovich: ale