Concept explainers
To decode: the cryptogram by evaluating
Answer to Problem 197RE
The decoding massage is I WILL BE BACK.
Explanation of Solution
Given information:
The given cryptogram:
The encoding matrix is:
Formula used:
The un-coded message is obtained by multiplying the coded matrix and the decoding matrix.
The decoding matrix is obtained by the inverse of the encoding matrix.
Inverse of a matrix A is
Calculation:
The given cryptogram:
So, the coded matrix is:
The encoding matrix is:
So, the decoding matrix is given by:
Here,
And,
So,
Now, the un-coded message is obtained by multiplying the coded matrix and the decoding matrix
So, the un-coded matrices are:
So, the message in Cryptography can be written as:
Hence, the original message is I WILL BE BACK.
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
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