How to decode the matrix?

To commence the decoding process, the initial step involves identifying the inverse of the encoding matrix. This inverse matrix serves as the decoding matrix, essential for reversing the encryption applied to the original message.

Specifically, the decoded numbers in this context are 3, 9, 16, 8, 5, and 18. These values, though seemingly random, are significant as they constitute the decoded message, conveying a specific meaning or information.

Subsequently, the message numbers must be arranged into matrices of dimensions 1×2. This step aligns with the encoding matrix's configuration, which is 2×2, ensuring compatibility during the decoding procedure.

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With the message numbers organized into 1×2 matrices and the decoding matrix at hand, the next step involves performing matrix multiplication. This operation leverages the properties of linear algebra to transform the encoded message back to its original form.