You are working in the cyber security department at a certain company. For security purposes, a password is required to access the system. You are asked to find the first 3 digits of this password based on the following information: 1st digit (D, ) plus twice of the 2nd digit (D2) plus the 3rd digit (D3) is equal to 26. PASSWORD *** Triple of the 1st digit (D,) plus the 2nd digit (D2) plus the 3rd digit (D3) is equal to 25. 1st digit (D.) plus the 2nd digit (D2) plus triple of the 3rd digit (D3) is equal to 28. a) Express the three rules above as equations. b) Rearrange the equations so that they are in the form Ax=b, where x = |D2 [D3. c) Define the coefficient matrix A and the constant matrix b. d) Use the matrix method to find the password digits (D1, D 2, and D3).
You are working in the cyber security department at a certain company. For security purposes, a password is required to access the system. You are asked to find the first 3 digits of this password based on the following information: 1st digit (D, ) plus twice of the 2nd digit (D2) plus the 3rd digit (D3) is equal to 26. PASSWORD *** Triple of the 1st digit (D,) plus the 2nd digit (D2) plus the 3rd digit (D3) is equal to 25. 1st digit (D.) plus the 2nd digit (D2) plus triple of the 3rd digit (D3) is equal to 28. a) Express the three rules above as equations. b) Rearrange the equations so that they are in the form Ax=b, where x = |D2 [D3. c) Define the coefficient matrix A and the constant matrix b. d) Use the matrix method to find the password digits (D1, D 2, and D3).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Task V:
You are working in the cyber security department at a certain company. For security purposes, a password
is required to access the system. You are asked to find the first 3 digits of this password based on the
following information:
1st digit (D1 ) plus twice of the 2nd digit (D2) plus the 3rd
digit (D3) is equal to 26.
PASSWORD
***
Triple of the 1st digit (D,) plus the 2nd digit (D2) plus the
3rd digit (D3) is equal to 25.
1st digit (D,) plus the 2nd digit (D2) plus triple of the 3rd
digit (D3) is equal to 28.
a) Express the three rules above as equations.
b) Rearrange the equations so that they are in the form Ax=b, where x = D2
[D3.
c) Define the coefficient matrix A and the constant matrix b.
d) Use the matrix method to find the password digits (D1, D 2, and D3).
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