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1. How can Bob decrypt the message? | 1. How can Bob decrypt the message? | ||
| − | + | Bob can use matrix algebra to find the inverse of the 3-by-3 matrix, which he can then multiply the encrypted vector by in order to obtain the 1-by-3 decrypted vector that corresponds to the numerical place of each letter of the alphabet. | |
| − | + | that the message (1,0,4,0,1,0,1,0,1) yields the encrypted vector (2,0,0,0,1,0,0,0,3). | |
| + | 2. Can Eve decrypt the message without finding the inverse of the secret matrix? | ||
| − | + | Yes. Eve can solve the system of equations with the vectors she has in order to decrypt the message. | |
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3. What is the decrypted message corresponding to (2,23,3)? (Write it as a text.) | 3. What is the decrypted message corresponding to (2,23,3)? (Write it as a text.) | ||
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Revision as of 15:13, 19 September 2008
| 3 3 3 | | 3 3 3 | | 3 3 3 |
1. How can Bob decrypt the message?
Bob can use matrix algebra to find the inverse of the 3-by-3 matrix, which he can then multiply the encrypted vector by in order to obtain the 1-by-3 decrypted vector that corresponds to the numerical place of each letter of the alphabet.
that the message (1,0,4,0,1,0,1,0,1) yields the encrypted vector (2,0,0,0,1,0,0,0,3). 2. Can Eve decrypt the message without finding the inverse of the secret matrix?
Yes. Eve can solve the system of equations with the vectors she has in order to decrypt the message.
3. What is the decrypted message corresponding to (2,23,3)? (Write it as a text.)
