Homework 6 Solutions on Elementary Number Theory - MAS...

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MAS 4214/001 Elementary Number Theory, Fall 2014CRN: 80544Answers, Set 6Qyestion 1.(2+1 pts) Similar to (but a little harder than) Exercise 23.3.(a) Use the CRT to solve forx, wherea, b, care given integers:xa(mod 3)xb(mod 5)xc(mod 11).(b) Find all self-inverses modulo 165. Note that 165 = (3)(5)(11).Solution.

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