3 -2 A =|-2 4 1 4 -7] Find the Inverse of the above message matrix which will represent the decoding matrix.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 39E
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1(b). Cryptography is concerned with keeping communications private. Today governments use
sophisticated methods of coding and decoding messages. One type of code, which is
extremely difficult to break, makes use of a large matrix to encode a message. The receiver
of the message decodes it using the inverse of the matrix. This first matrix is called the
encoding matrix and its inverse is called the decoding matrix. If the following matrix
written is an encoding matrix of a government agency's sophisticated method of encoding
outgoing messages,
-2
A =|-2
1
4
1
4
-7.
Find the Inverse of the above message matrix which will represent the decoding matrix.
Transcribed Image Text:1(b). Cryptography is concerned with keeping communications private. Today governments use sophisticated methods of coding and decoding messages. One type of code, which is extremely difficult to break, makes use of a large matrix to encode a message. The receiver of the message decodes it using the inverse of the matrix. This first matrix is called the encoding matrix and its inverse is called the decoding matrix. If the following matrix written is an encoding matrix of a government agency's sophisticated method of encoding outgoing messages, -2 A =|-2 1 4 1 4 -7. Find the Inverse of the above message matrix which will represent the decoding matrix.
(a) An Automobile company uses three types of steel S1, S2 and S; for producing three types
of cars C1, C2 and C3. The steel requirements ( in tons ) for each type of car is give is as
shown in the table below;
Cars
C1
C2
C3
S1
3
4
Steel
S2
1
1
2
S3
3
2
1
As a management person in this Automobile company, use management mathematics to
determine the number of cars of each type which can be produced using 29, 13 and 16
tons of steel of the three types respectively which is available to the company as of now.
Transcribed Image Text:(a) An Automobile company uses three types of steel S1, S2 and S; for producing three types of cars C1, C2 and C3. The steel requirements ( in tons ) for each type of car is give is as shown in the table below; Cars C1 C2 C3 S1 3 4 Steel S2 1 1 2 S3 3 2 1 As a management person in this Automobile company, use management mathematics to determine the number of cars of each type which can be produced using 29, 13 and 16 tons of steel of the three types respectively which is available to the company as of now.
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