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 =...


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4. Martha wants to try encoding words using matrix multiplication. She translates A into 1, B into 2 and<br>()<br>eventually Z into 26. She then forms the words into a matrix, like the word HI would be W =<br>The<br>process she is proposing to encode the words is as follows:<br>(; )<br>• Multiply A =<br>by the matrix for the word.<br>• Mod the answers by 26 if necessary to get back to letters and switch back to letters to get the encoded<br>message.<br>• Multiply A-1 by the encoded message (translated into numbers).<br>• Mod this by 26 and switch to letters.<br>• Determine success based on whether she gets her original word back.<br>Your job is to do the computations for her with the word HI from above. Find the letters that this translates<br>into and then try to convert it back to determine if she was successful. You will need to mod a negative<br>number to finish this. I recommend using www.wolframalpha.com to do that step.<br>AW =<br>X = AW mod 26 =<br>The letters that this translates to are<br>A-'X =<br>A-1X mod 26 =<br>The letters that this translates to are<br>Martha was<br>SUCCESSFUL<br>NOT SUCCESSFUL<br>

Extracted 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

Jun 04, 2022
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