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Matrices, Sets and Relations

D = days of the week {M, T, W, R, F},
E = {Brian (B), Jim (J), Karen (K)} be the employees of a tutoring center at a University U = {Courses the tutoring center needs tutors for}
= {Calculus I (I), Calculus II (II), Calculus III (III), Computers I (C1), Computers II (C2), Precalculus (P)}.

We define the relation R from D into E by d R e, if employee e is scheduled to work on day d. We also define S from E into U by e r u, if employee e is capable of tutoring students in course u. If: Please view the attachment for the rest of the question.

(a) Interpret the above matrices with respect to the above relations.
(b) Compute M_SoR, and use this matrix to determine which courses will have tutors available on which days.
(c) Multiply the above matrices using regular arithmetic. Can you interpret this result?


Solution Summary

This solution is comprised of a step-wise response which investigates the concepts of matrices, sets and relations. This response is detailed and well presented in a Word document which is attached.