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Problem 3 (1) Show carefully that gcd(71, 97) = 1. (2) Is 71 a unit modulo 97? If yes, explain why and give me an inverse showing all of your work. If no, erplain why as well. (3) Find a solution (and show your work) to the system of equations %3D I = 13 (mod 71) I= 41 (mod 97).

Problem 3 (1) Show carefully that gcd(71, 97) = 1. (2) Is 71 a unit modulo 97? If yes, explain why and give me an inverse showing all of your work. If no, erplain why as well. (3) Find a solution (and show your work) to the system of equations %3D I = 13 (mod 71) I= 41 (mod 97).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem 3 (1) Show carefully that gcd(71,97) = 1. (2) Is 71 a unit modulo 97? If yes, erplain why and give me an inverse showing all of your work. If no, erplain why as well. (3) Find a solution (and show your work) to the system of equations I = 13 (mod 71) I = 41 (mod 97).
Transcribed Image Text:Problem 3 (1) Show carefully that gcd(71,97) = 1. (2) Is 71 a unit modulo 97? If yes, erplain why and give me an inverse showing all of your work. If no, erplain why as well. (3) Find a solution (and show your work) to the system of equations I = 13 (mod 71) I = 41 (mod 97).
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