Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
(1) Consider the equation 2x +1 = 0 mod n. For which n are there no solutions? one solution? multiple solutions? (2) For n = 10 and n = 12 determine which elements mod n have reciprocals. Do you see any pattern? Can you prove it holds for other n?
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Transcribed Image Text:(1) Consider the equation 2x +1 = 0 mod n. For which n are there no solutions? one solution? multiple solutions? (2) For n = 10 and n = 12 determine which elements mod n have reciprocals. Do you see any pattern? Can you prove it holds for other n?
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