Revision as of 06:21, 19 September 2008 by Nablock (Talk)

1. Bob can decrypt the message by multiplying the encrypted message with the inverse of the secret matrix.


2. Eve can not decrypt the message without the inverse of the secret matrix. She does however have all the necessary information to find said inverse.


3. $ \left[ \begin{array}{ccc} 1 & 0 & 4 \\ 0 & 1 & 0 \\ 1 & 0 & 1\end{array}\right]\times \left[ \begin{array}{ccc} X \end{array}\right] = \left[ \begin{array}{ccc} 2 & 0 & 0\\ 0 & 1 & 0\\ 0 & 0 & 3\end{array}\right] $

We must find the inverse of the secret matrix to decode the message.

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett