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Ask Your TeacherMy NotesQuestion PartPointsSubmissions UsedMatrices are commonly used to encrypt data. Here is a simple form such an encryption cantake. First, we represent each letter in the alphabet by a number, so let us take < space > =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 integerentries. For instance, let us takeAto be the 2×2 matrix3124.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 onthe left byA.EncryptedMatrix=3124
1152013199142180919150=56360487642421010240621147828,which we can also write as[5 10 63 102 60 40 48 62 76 114 42 78 42 28].To decipher the encoded message, multiply the encrypted matrix byA−1.The following question uses the above matrixAfor encoding and decoding.Decode the following message, which was encrypted using the matrixA. (Include anyappropriate spaces in your answer.)[24 66 72 108 18 22 60 40 17 58 80 130 33 82]CORRECT ANSWERHome My AssignmentsWebAssign® 4.0 © 1997-2017 Advanced Instructional Systems, Inc. All rights reserved.
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Term
Spring
Professor
ESTERNBURGER
Tags
Math,