12. Maria has four-digit PIN(Personal Identification Number). She needs to send the PIN to her mother by email. Maria decides to encode the PIN and uses the process: Maria forms a 2 X 2 Matrix A from the digit of her PIN where: A = |1* digit |3d digit 2nd digit 4h digit She chooses then matrix B 20 6 and calculates AB. 3 6 She performs the encoded message by writing down the four elements of AB and following them with the number of digits of each element. 57|, the encoded message would be 125732942222. She then emailed the 32 94 encoded PIN to her mother. For example: if AB = 12 Find: b. Maria's PIN if the encoded message is 4148189722232 ?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.5: Solve Systems Of Equations Using Matrices
Problem 4.78TI: Perform the indicated operations on the augmented matrix: (a) Interchange rows 1 and 2, (b) Multiply...
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12. Maria has four-digit PIN(Personal Identification Number). She needs to send the PIN to her mother by email. Maria decides to encode
the PIN and uses the process:
Maria forms a 2 X 2 Matrix A from the digit of her PIN where:
A = |1* digit
|3d digit
2nd digit
4h digit
She chooses then matrix B 20 6
and calculates AB.
3
6
She performs the encoded message by writing down the four elements of AB and following them with the number of digits of each
element.
57|, the encoded message would be 125732942222. She then emailed the
32 94 encoded PIN to her mother.
For example: if AB = 12
Find:
b.
Maria's PIN if the encoded message is 4148189722232 ?
NOTE: Use Inverse Matrix Solution to solve this problem.
Transcribed Image Text:12. Maria has four-digit PIN(Personal Identification Number). She needs to send the PIN to her mother by email. Maria decides to encode the PIN and uses the process: Maria forms a 2 X 2 Matrix A from the digit of her PIN where: A = |1* digit |3d digit 2nd digit 4h digit She chooses then matrix B 20 6 and calculates AB. 3 6 She performs the encoded message by writing down the four elements of AB and following them with the number of digits of each element. 57|, the encoded message would be 125732942222. She then emailed the 32 94 encoded PIN to her mother. For example: if AB = 12 Find: b. Maria's PIN if the encoded message is 4148189722232 ? NOTE: Use Inverse Matrix Solution to solve this problem.
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