Let D be the set of weekdays, Monday through Friday, let W be a set of employees {1, 2, 3} of a tutoring center, and let V be a set of computer languages for which tutoring is offered, {A(P L), B(asic), C(++), J(ava), L(isp), P(ython)}. We define s (schedule) from D into W by dsw if w is scheduled to work on day d. We also define r from W into V by wrl if w can tutor students in language l. If s and r are defined by matrices (1 2 3
M 1 0 1 A B C J L P
S = T 0 1 1 and R = 1 (0 1 1 0 0 1
W 1 0 1 2 1 1 0 1 0 1
R 0 1 0 3 0 1 0 0 1 1)
F 1 1 0)
a. compute SR using Boolean arithmetic and give an interpretation of the relation it defines
b. compute SR using regular arithmetic and give an interpretation of what the result describes.