
Concept explainers
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, , is obtained by multiplying the message matrix, , by a key matrix, . 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. What is the original message?
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Chapter 8 Solutions
College Algebra (10th Edition)
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