Solution Found!
For each ordered pair (a, b) of integers define a mapping aa.b : Z -+ Z by aa.b(n) = an
Chapter 1, Problem 1.24(choose chapter or problem)
QUESTION:
For each ordered pair (a, b) of integers define a mapping aa.b : Z -+ Z by aa.b(n) = an + b.(a) For which pairs (a, b) is aa.b onto?(b) For which pairs (a, b) is aa.b one-to-one?
Questions & Answers
QUESTION:
For each ordered pair (a, b) of integers define a mapping aa.b : Z -+ Z by aa.b(n) = an + b.(a) For which pairs (a, b) is aa.b onto?(b) For which pairs (a, b) is aa.b one-to-one?
ANSWER:Step 1 of 3
Following is the mapping
So,
Each ordered pair, , of integers defines one such mapping.
So, the domain and codomain, both are the set of integers.