(a) Find a u, A E Z such that µ12 + 135 = 1. Show your work.. (b) Find an integer X such that X = 8 mod 12 and X = 20 mod 35. You do not need to simplify your answer. (c) Recall that (Z/35Z)* is the group of Z/35Z \ {[0]} with multiplication as the group operation (instead of the usual addition). Compute the (multi- plicative) inverse of [12] in (Z/35Z)*.

(a) Find a u, A E Z such that µ12 + 135 = 1. Show your work.. (b) Find an integer X such that X = 8 mod 12 and X = 20 mod 35. You do not need to simplify your answer. (c) Recall that (Z/35Z)* is the group of Z/35Z \ {[0]} with multiplication as the group operation (instead of the usual addition). Compute the (multi- plicative) inverse of [12] in (Z/35Z)*.

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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