rning Target N5: I can encode English sentences into numbers and reverse the process. I can perform basic a 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) = 9x + 5 (mod 63) invertible? Yes or no. If yes, find the inverse (fu reduced with positive terms modulo the modulus) if no, explain why. 2. Is the affine cipher e(x) 10x + 17 (mod 63) invertible? Yes or no. If yes, find the inverse (fu reduced with positive terms modulo the modulus), if no, explain why. -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 \( e(x) = 9x + 5 \pmod{63} \) 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 \( e(x) = 10x + 17 \pmod{63} \) 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 \( e(x) = 9x + 5 \pmod{63} \) 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 \( e(x) = 10x + 17 \pmod{63} \) 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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