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.

We are dealing with a function h:Z12→Z18 defined by h([a])=[3a−5].This function operates between…

Answered: The function h: Z12 → Z18 is defined…

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 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.