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1. Suppose that a and b are integers such that a = 45 (mod 71) and b = 53 (mod 71). Find an integer c such that 0

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section: Chapter Questions

Problem 15RP

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Question

1. Suppose that a and b are integers such that a = 45 (mod 71) and b = 53 (mod 71).
Find an integer c such that 0 <c < 71 such that
(a) c= a® . b-5 (mod 71)
(b) a = b° (mod 71)
(c) c = 34(a – b) (mod 71)
(d) 29c = 41a +b7 (mod 71)

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