Decoding encryption with matrices

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    Encryption Matrices
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To decode the encryption, the inverse of matrix A must be found and then left-multiplied by the coded matrix B'. The relationship between the matrices is defined by the equation AB = B', where B is the original message matrix. The correct decoding process involves calculating A^(-1)B' to retrieve the uncoded matrix B. The provided inverse matrix of A is noted to be incorrect, as it is actually the negative of the true inverse. Accurate decoding hinges on using the correct inverse matrix to successfully reveal the original message.
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Find the inverse of A and left-multiply it by the coded matrix. Call B the message matrix, and B' the coded matrix. You get the coded matrix by finding

AB = B'

Get the uncoded matrix by taking

A^(-1)B' = A^(-1)AB = IB = B
 
They give the inverse matrix of A just above the sentence "I LOVE MONICA". It appears to be off though, and is actually the negative of the inverse.
 

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