Question
are commonly used to encrypt data. Here is a simple form such an encryption can take. First, we represent each letter in the alphabet by
are commonly used to encrypt data. Here is a simple form such an encryption can take. First, we represent each letter in the alphabet by a number, so let us take = 0, A = 1, B = 2, and so on. Thus, for example, "ABORT MISSION" becomes[1 2 15 18 20 0 13 9 19 19 9 15 14].To encrypt this coded phrase, we use an invertible matrix of any size with integer entries. For instance, let us take A to be the 2 ? 2 matrix 3 1 4 2. We can first arrange the coded sequence of numbers in the form of a matrix with two rows (using zero in the last place if we have an odd number of characters) and then multiply on the left by A.Encrypted Matrix = 3 1 4 21 15 20 13 19 9 14 2 18 0 9 19 15 0 = 5 63 60 48 76 42 42 8 96 80 70 114 66 56,which we can also write as[5 8 63 96 60 80 48 70 76 114 42 66 42 56].To decipher the encoded message, multiply the encrypted matrix by A?1. The following question uses the above matrix A for encoding and decoding.Decode the following message, which was encrypted using the matrix A. (Include any appropriate spaces in your answer.)[24 42 72 108 18 26 60 80 17 32 80 122 33 56] Could you please help me solving this problem ASAP. Look at the picture
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