The function h: Z12 → Z18 is defined the formula h([a]) = [3a - 5]. (a) Verify that the function h is well-defined, that is, show that if a, b € Z are such that [a] = [b] in Z12 then [3a - 5] = [3b - 5] in Z18.
The function h: Z12 → Z18 is defined the formula h([a]) = [3a - 5]. (a) Verify that the function h is well-defined, that is, show that if a, b € Z are such that [a] = [b] in Z12 then [3a - 5] = [3b - 5] in Z18.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The function h: Z12 → Z18 is defined by the formula h([a]) = [3a — 5].
(a) Verify that the function h is well-defined, that is, show that if a, b € Z are such that [a] = [b]
in Z12 then [3a - 5] = [3b – 5] in Z18.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94c1ed91-46c1-430b-be36-484c8f19877e%2Ffd80bb3c-19f0-4372-b50e-d7a31afb2d5c%2Frz3yk5c_processed.png&w=3840&q=75)
Transcribed Image Text:The function h: Z12 → Z18 is defined by the formula h([a]) = [3a — 5].
(a) Verify that the function h is well-defined, that is, show that if a, b € Z are such that [a] = [b]
in Z12 then [3a - 5] = [3b – 5] in Z18.
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