tut08_soln.pdf - Mat1101 Tutorial Week 8 Relationships and...

Mat1101 Tutorial Week 8
Relationships and Functions
Grossman Chapter 5 and 6
1. Complete any outstanding tutorial questions from Week 7. (Catch up due to the public
holidays).
2. Consider the relation “is greater than or equal to” on the set 𝐴 = {1, 2, 3, 5} . Write
down the matrix representation for this relation. What is the set 𝑹 defined by this
relation.
3. Consider the relation 𝑹 defined on the set ℤ of integers as:
?𝑹? if ? − ? is divisible by 3.
(a) Starting with a subset of the integers:
𝑍
1
= {−3, −2, −1, 0, 1, 2, 3},
illustrate the subset defined by this relation.