Question: 5. You have received a message that has been encrypted using a Hill Cipher, as described in Section 1.3.2 of your algebra notes, with

(a) You are given that M = .5 0.5 satisfies MA = I. Find the matrix X that satisfies Y = AX. (b) The message

5. You have received a message that has been encrypted using a Hill Cipher, as described in Section 1.3.2 of your algebra notes, with matrix A = Y = B 2 The encrypted message is contained in the matrix 5 -5 -26 12 4 -18] 54 18 28 54 2 28 (a) You are given that M = .5 0.5 satisfies MA = I. Find the matrix X that satisfies Y = AX. (b) The message is in a language other than English. What letters and space make up the message? BONUS mark: What is the language and what is the meaning of the message? 5. You have received a message that has been encrypted using a Hill Cipher, as described in Section 1.3.2 of your algebra notes, with matrix A = Y = B 2 The encrypted message is contained in the matrix 5 -5 -26 12 4 -18] 54 18 28 54 2 28 (a) You are given that M = .5 0.5 satisfies MA = I. Find the matrix X that satisfies Y = AX. (b) The message is in a language other than English. What letters and space make up the message? BONUS mark: What is the language and what is the meaning of the message?

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