4. Martha wants to try encoding words using matrix multiplication. She translates A into 1, B into 2 and eventually Z into 26. She then forms the words into a matrix, like the word HI would be W The process she is proposing to encode the words is as follows: (; ) 4 5 9) by the matrix for the word. Multiply A = • Mod the answers by 26 if necessary to get back to letters and switch back to letters to get the encoded message. • Multiply A-1 by the encoded message (translated into numbers). • Mod this by 26 and switch to letters. • Determine success based on whether she gets her original word back. Your job is to do the computations for her with the word HI from above. Find the letters that this translates into and then try to convert it back to determine if she was successful. You will need to mod a negative number to finish this. I recommend using www.wolframalpha.com to do that step. AW = X = AW mod 26 = The letters that this translates to are A-'X = A-1X mod 26 = The letters that this translates to are Martha was SUCCESSFUL NOT SUCCESSFUL
4. Martha wants to try encoding words using matrix multiplication. She translates A into 1, B into 2 and eventually Z into 26. She then forms the words into a matrix, like the word HI would be W The process she is proposing to encode the words is as follows: (; ) 4 5 9) by the matrix for the word. Multiply A = • Mod the answers by 26 if necessary to get back to letters and switch back to letters to get the encoded message. • Multiply A-1 by the encoded message (translated into numbers). • Mod this by 26 and switch to letters. • Determine success based on whether she gets her original word back. Your job is to do the computations for her with the word HI from above. Find the letters that this translates into and then try to convert it back to determine if she was successful. You will need to mod a negative number to finish this. I recommend using www.wolframalpha.com to do that step. AW = X = AW mod 26 = The letters that this translates to are A-'X = A-1X mod 26 = The letters that this translates to are Martha was SUCCESSFUL NOT SUCCESSFUL
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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![4. Martha wants to try encoding words using matrix multiplication. She translates A into 1, B into 2 and
()
eventually Z into 26. She then forms the words into a matrix, like the word HI would be W =
The
process she is proposing to encode the words is as follows:
(; )
• Multiply A =
by the matrix for the word.
• Mod the answers by 26 if necessary to get back to letters and switch back to letters to get the encoded
message.
• Multiply A-1 by the encoded message (translated into numbers).
• Mod this by 26 and switch to letters.
• Determine success based on whether she gets her original word back.
Your job is to do the computations for her with the word HI from above. Find the letters that this translates
into and then try to convert it back to determine if she was successful. You will need to mod a negative
number to finish this. I recommend using www.wolframalpha.com to do that step.
AW =
X = AW mod 26 =
The letters that this translates to are
A-'X =
A-1X mod 26 =
The letters that this translates to are
Martha was
SUCCESSFUL
NOT SUCCESSFUL](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F404633fd-a4cc-4516-9bac-b31c2ed8ff35%2F186d39e9-253d-40ea-ab58-e951ccfd662f%2Fdsqe2dm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Martha wants to try encoding words using matrix multiplication. She translates A into 1, B into 2 and
()
eventually Z into 26. She then forms the words into a matrix, like the word HI would be W =
The
process she is proposing to encode the words is as follows:
(; )
• Multiply A =
by the matrix for the word.
• Mod the answers by 26 if necessary to get back to letters and switch back to letters to get the encoded
message.
• Multiply A-1 by the encoded message (translated into numbers).
• Mod this by 26 and switch to letters.
• Determine success based on whether she gets her original word back.
Your job is to do the computations for her with the word HI from above. Find the letters that this translates
into and then try to convert it back to determine if she was successful. You will need to mod a negative
number to finish this. I recommend using www.wolframalpha.com to do that step.
AW =
X = AW mod 26 =
The letters that this translates to are
A-'X =
A-1X mod 26 =
The letters that this translates to are
Martha was
SUCCESSFUL
NOT SUCCESSFUL
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