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, E = M.K and M = E.K^-1.

(a) Given the key matrix,find its inverse, 

(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 ( A = 1, B = 2, C = 2, and so on). What is the original message?

Transcribed Image Text:

2 1 1 K =| 1 47 34 33 E = | 44 36 27 47 41 20