Use A-1 to decode the cryptogram. 1 2 A = 3 7 9 -1 -3 -4 13 24 25 -1 -15 -23 3 2 -2 4 5 3 -5 -17 -23 4 5 3
Use A-1 to decode the cryptogram. 1 2 A = 3 7 9 -1 -3 -4 13 24 25 -1 -15 -23 3 2 -2 4 5 3 -5 -17 -23 4 5 3
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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Question
![To decode the cryptogram using the inverse of matrix \( A \), begin with the given information:
Matrix \( A \) is defined as:
\[
A = \begin{bmatrix} 1 & 2 & 2 \\ 3 & 7 & 9 \\ -1 & -3 & -4 \end{bmatrix}
\]
The cryptogram is represented by the sequence of numbers:
\[ 13, 24, 25, -1, -15, -23, 3, 2, -2, 4, 5, 3, -5, -17, -23, 4, 5, 3 \]
To decode the message, multiply the inverse of matrix \( A \) (\( A^{-1} \)) by three numbers at a time from the sequence, as each group of three represents an encoded vector.
Once you have calculated the inverse and multiplied it by the encoded vectors, convert the resulting numbers according to the encoding scheme used (e.g., ASCII values for letters).
Place your final decoded message in the space provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8268c271-8991-49a2-aed9-a02bde5bd8ab%2F2560f612-aa0d-4211-b6d7-67efbc22fad8%2Fuewspa_processed.png&w=3840&q=75)
Transcribed Image Text:To decode the cryptogram using the inverse of matrix \( A \), begin with the given information:
Matrix \( A \) is defined as:
\[
A = \begin{bmatrix} 1 & 2 & 2 \\ 3 & 7 & 9 \\ -1 & -3 & -4 \end{bmatrix}
\]
The cryptogram is represented by the sequence of numbers:
\[ 13, 24, 25, -1, -15, -23, 3, 2, -2, 4, 5, 3, -5, -17, -23, 4, 5, 3 \]
To decode the message, multiply the inverse of matrix \( A \) (\( A^{-1} \)) by three numbers at a time from the sequence, as each group of three represents an encoded vector.
Once you have calculated the inverse and multiplied it by the encoded vectors, convert the resulting numbers according to the encoding scheme used (e.g., ASCII values for letters).
Place your final decoded message in the space provided.
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