12. Use the Extended Euclidean Algorithm to find the multiplicative inverse of 23 mod 111.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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12. Use the Extended Euclidean Algorithm to find the multiplicative inverse of 23 mod 111.
13. In Z26, it is true that 3.9 = 1, 5 - 21 = 1, 7-15 = 1, 11 · 19 = 1, and 17-23 = 1 mod 26.
Use this information to solve 15x + 3 = 7 mod 26.
[Your answer should be of the form x = a mod 26 for a € Z26-]
Transcribed Image Text:12. Use the Extended Euclidean Algorithm to find the multiplicative inverse of 23 mod 111. 13. In Z26, it is true that 3.9 = 1, 5 - 21 = 1, 7-15 = 1, 11 · 19 = 1, and 17-23 = 1 mod 26. Use this information to solve 15x + 3 = 7 mod 26. [Your answer should be of the form x = a mod 26 for a € Z26-]
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