We Have Encoded Messages by Assigning the Letters of the Alphabet

question 12

Multiple Choice

We have encoded messages by assigning the letters of the alphabet the numbers 1-26, with a blank assigned the number 27, and by using an encoding matrix A that converts the numbers to the coded message. To decode any message encoded by A, we must find the inverse of A, denoted by A^-1, and multiply A^-1 times the coded message. Use this code and the given encoding matrix A to find the matrix that can be used to decode the given message. ​
The code matrix is . The message is 33, 132, 214, 22, 110, 203, 34, 132, 201.

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Definitions:

Market Outcomes

The results of economic transactions and interactions in a market, including prices and quantities of goods and services traded.

Scarce Resources

Resources that are limited in availability and can run out if not used efficiently, leading to the necessity of making choices on how to allocate them.

Invisible Hand

A metaphor introduced by Adam Smith to describe the self-regulating nature of the marketplace.

Economic Prosperity

The state of flourishing, thriving, good fortune, and/or successful social status in terms of wealth, health, and happiness.