(c) In this part of the question we consider U25 as a group under multiplication.Let a E Z. Suppose that 5 a.(i) Suppose that [al0]25 [1]25 and [a*]25 [1]25. Prove that (la]25) = U25.%3D(ii) Show that ([2]25) = U25.(i) Suppose that ([a]25) = U25. Show that ([a']25) = U25.%3D%3!

Given - Consider U25 as a group under multiplication. Let a∈ℤ . Suppose that 5|a . To find -…

(c) In this part of the question we consider U25 as a group under multiplication. Let a E Z. Suppose that 5 a. (1) Suppose that [al0]25 [1]25 and [a*]25 # [1]25. Prove that (la)25) = U25. %3D (ii) Show that ((2]25) = U25. (ii) Suppose that ([a]25) = U25. Show that ([a']25) = U25. %3D %3D

(c) In this part of the question we consider U25 as a group under multiplication. Let a E Z. Suppose that 5 a. (1) Suppose that [al0]25 [1]25 and [a*]25 # [1]25. Prove that (la)25) = U25. %3D (ii) Show that ((2]25) = U25. (ii) Suppose that ([a]25) = U25. Show that ([a']25) = U25. %3D %3D

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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