Let:
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:
Interpret the above matrices with respect to the above relations.
, and use this matrix to determine which courses will have tutors
available on which days.
Multiply the above matrices using regular arithmetic. Can you interpret
this result?
Mathematics Homework Solutions
#127217
Matrices, Sets and Relations
Let:
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:
MR = and MS =
(a) Interpret the above matrices with respect to the above relations.
(b) Compute , 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?
Matrices, sets and relations are investigated The solution is detailed and well presented.
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