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Learning Target N5: I can encode English sentences into numbers and reverse the process. I can perform basic affine ciphers and find decryption functions. I can correctly state why an affine cipher is or is not invertible. 1. Is the affine cipher e(x) = 8x + 5 (mod 75) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus) if no, explain why. 2. Is the affine cipher e(x) = 10x + 17 (mod 75) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus), if no, explain why.

Learning Target N5: I can encode English sentences into numbers and reverse the process. I can perform basic affine ciphers and find decryption functions. I can correctly state why an affine cipher is or is not invertible. 1. Is the affine cipher e(x) = 8x + 5 (mod 75) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus) if no, explain why. 2. Is the affine cipher e(x) = 10x + 17 (mod 75) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus), if no, explain why.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Learning Target N5:** I can encode English sentences into numbers and reverse the process. I can perform basic affine ciphers and find decryption functions. I can correctly state why an affine cipher is or is not invertible. 1. Is the affine cipher \( e(x) = 8x + 5 \ (\text{mod}\ 75) \) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus), if no, explain why. 2. Is the affine cipher \( e(x) = 10x + 17 \ (\text{mod}\ 75) \) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus), if no, explain why.
Transcribed Image Text:**Learning Target N5:** I can encode English sentences into numbers and reverse the process. I can perform basic affine ciphers and find decryption functions. I can correctly state why an affine cipher is or is not invertible. 1. Is the affine cipher \( e(x) = 8x + 5 \ (\text{mod}\ 75) \) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus), if no, explain why. 2. Is the affine cipher \( e(x) = 10x + 17 \ (\text{mod}\ 75) \) invertible? Yes or no. If yes, find the inverse (fully reduced with positive terms modulo the modulus), if no, explain why.
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