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SImalest posiuiy OI the n) is order of a modulo n. Find the additive orders of each of the following elements by solving the appropriate congruences: (a) 7 modulo 11. (b) 9 modulo 15. (c) 8 modulo 15.

SImalest posiuiy OI the n) is order of a modulo n. Find the additive orders of each of the following elements by solving the appropriate congruences: (a) 7 modulo 11. (b) 9 modulo 15. (c) 8 modulo 15.

Advanced Engineering Mathematics
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 smallest positive solution of the congruence ax = 0( mod n) is called the additive order of a modulo n. Find the additive orders of each of the following elements by solving the appropriate congruences: (a) 7 modulo 11. (b) 9 modulo 15. (c) 8 modulo 15.
Transcribed Image Text:The smallest positive solution of the congruence ax = 0( mod n) is called the additive order of a modulo n. Find the additive orders of each of the following elements by solving the appropriate congruences: (a) 7 modulo 11. (b) 9 modulo 15. (c) 8 modulo 15.
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