One of the important applications of inverse of a non-singular square matrix is in cryptography. Cryptography is an art of communication between two people by keeping the information not known to others. It is based upon two factors, namely encryption and decryption Encryption means the process of transformation of an information (plain form) into an unreadable form (coded form). On the other hand, Decryption means the transformation of the coded message back into original form. Encryption and decryption require a secret technique which is known only to the sender and the recerver. APPLICATION OF MATRIX CRYPTOGRAPHY Hint to reveal the encoding Matrix: "Your Math Lecturer Laptop" -# -#-$ By using this secret encoding matrix ) -122 23 -96 22 138 -123 19 101 -91 $ # $ Reveal the following secret message 139 -176 47 181 -182 41 10 111 -183 32 203 197 Hint to reveal the secret message: "count ALL English alphabet simultaneously with counting numbers. Then you will realized the "space" is not empty at all" Explain the process of decryption as part of your answer.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.3: M X N Matrices
Problem 49PS
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One of the important applications of inverse of a non-singular square matrix is in cryptography.
Cryptography is an art of communication between two people by keeping the information not
known to others. It is based upon two factors, namely encryption and
decryption Encryption means the process of transformation of an information (plain form)
into an unreadable form (coded form). On the other hand, Decryption means
the transformation of the coded message back into original form. Encryption and decryption
require a secret technique which is known only to the sender and the recerver.
APPLICATION OF MATRIX
CRYPTOGRAPHY
Hint to reveal the encoding Matrix: "Your Math Lecturer Laptop"
-# -#-$
By using this secret encoding matrix )
-122 23
-96 22
138 -123 19
101 -91
$ # $
Reveal the following secret message
139 -176 47 181 -182 41
10 111 -183 32 203
197
Hint to reveal the secret message:
"count ALL English alphabet simultaneously
with counting numbers. Then you will realized the "space" is not empty at all"
Explain the process of decryption as part of your answer.
Transcribed Image Text:One of the important applications of inverse of a non-singular square matrix is in cryptography. Cryptography is an art of communication between two people by keeping the information not known to others. It is based upon two factors, namely encryption and decryption Encryption means the process of transformation of an information (plain form) into an unreadable form (coded form). On the other hand, Decryption means the transformation of the coded message back into original form. Encryption and decryption require a secret technique which is known only to the sender and the recerver. APPLICATION OF MATRIX CRYPTOGRAPHY Hint to reveal the encoding Matrix: "Your Math Lecturer Laptop" -# -#-$ By using this secret encoding matrix ) -122 23 -96 22 138 -123 19 101 -91 $ # $ Reveal the following secret message 139 -176 47 181 -182 41 10 111 -183 32 203 197 Hint to reveal the secret message: "count ALL English alphabet simultaneously with counting numbers. Then you will realized the "space" is not empty at all" Explain the process of decryption as part of your answer.
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