Cryptography One method of encryption is to use a matrix

Chapter 12, Problem 87

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Cryptography One method of encryption is to use a matrix to encrypt the message and then use the corresponding inverse matrix to decode the message.The encrypted matrix, E, is obtained by multiplying the message matrix, M, by a key matrix,K.The original message can be retrieved by multiplying the encrypted matrix by the inverse of the key matrix. That is, and . (a) Given the key matrix , find its inverse, .[Note: This key matrix is known as the Fibonacci encryption matrix.](b) Use your result from part (a) to decode the encrypted matrix . (c) Each entry in your result for part (b) represents the position of a letter in the English alphabet , , and so on .What is the original message? Source: goldenmuseum.com

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