2. (a) Prove or disprove that {-39, 72, -23, 50, -15, 63, -52} is a complete residue systemmodulo 7.(b) Find a complete residue system modulo 7 consisting entirely of even integers.(c) Find a complete residue system modulo 7 consisting entirely of odd integers.

A. given set of elements are S= { -39 ,72,-23,50,-15,63,-52} Now find the remainder when set…

Answered: 2. (a) Prove or disprove that {-39, 72,…

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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2. (a) Prove or disprove that {-39, 72, —23, 50, —15, 63, -52} is a complete residue system modulo 7. (b) Find a complete residue system modulo 7 consisting entirely of even integers. (c) Find a complete residue system modulo 7 consisting entirely of odd integers.