Use A-1 to decode the cryptogram. 22 A = 3 7 9 -3 -4 1 3 19 50 -37 -33 67 -5 -2 18 -4 1 23 -21 -25 17 -4 1 23
Use A-1 to decode the cryptogram. 22 A = 3 7 9 -3 -4 1 3 19 50 -37 -33 67 -5 -2 18 -4 1 23 -21 -25 17 -4 1 23
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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![**Decrypting Matrices: A Linear Algebra Approach**
To decode the cryptogram, use the inverse of matrix \( A \).
Given:
\[ A = \begin{bmatrix} 1 & 2 & 2 \\ 3 & 7 & 9 \\ -3 & -4 & 1 \end{bmatrix} \]
The cryptogram to decode is:
\[ 3, 19, 50, -37, -33, 67, -5, -2, 18, -4, 1, 23, -21, -25, 17, -4, 1, 23 \]
To decode:
- Calculate the inverse of matrix \( A \).
- Multiply the inverse by the vector of coded numbers organized in 3x1 matrices.
- Each multiplication will yield three corresponding decoded numbers.
Enter the decoded message in the provided input box. If you need assistance, click "Need Help?" and select "Read It" for further instructions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F788d30d7-3e5d-416d-85b2-dd122fe24e5a%2F19d2f0d5-0d8a-4492-b58c-ac7ba91cd429%2Ftf3h3nl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Decrypting Matrices: A Linear Algebra Approach**
To decode the cryptogram, use the inverse of matrix \( A \).
Given:
\[ A = \begin{bmatrix} 1 & 2 & 2 \\ 3 & 7 & 9 \\ -3 & -4 & 1 \end{bmatrix} \]
The cryptogram to decode is:
\[ 3, 19, 50, -37, -33, 67, -5, -2, 18, -4, 1, 23, -21, -25, 17, -4, 1, 23 \]
To decode:
- Calculate the inverse of matrix \( A \).
- Multiply the inverse by the vector of coded numbers organized in 3x1 matrices.
- Each multiplication will yield three corresponding decoded numbers.
Enter the decoded message in the provided input box. If you need assistance, click "Need Help?" and select "Read It" for further instructions.
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