Find the Uncoded 1 × 3 Row Matrices for the Message

question 268

Multiple Choice

Find the uncoded 1 × 3 row matrices for the message "MERRY CHRISTMAS" by assigning a number to each letter in the alphabet such as 1 = A, 2 = B, 3 = C and so on (with 0 assigned to a blank space) ;
Then encode the message using the encoding matrix $$\left[ \begin{array} { c c c } 0 & - 2 & 1 \\- 1 & 1 & 1 \\1 & 2 & 0\end{array} \right]$$ .

• A)Uncoded: \[\begin{array} { l }
• { \left[ \begin{array} { l l l }
• 13 & 5 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• 18 & 25 & 0
• \end{array} \right] \left[ \begin{array} { l l l }
• 3 & 8 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• 9 & 19 & 20
• \end{array} \right] } \\
• \begin{array} { l l l l l l l l l l l l }
• M & \text { E } & \text { R } && \text { R Y } &&&&& \text { C R I } &&& \text { S T M}
• \end{array} \\
• { \left[ \begin{array} { l l l }
• 13 & 1 & 19
• \end{array} \right] } \\
• \text { M A S } \\
• \end{array}\] Encoded: \[\begin{array} { l }
• { \left[ \begin{array} { l l l }
• 13 & 15 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• - 25 & - 11 & 43
• \end{array} \right] \left[ \begin{array} { l l l }
• 10 & 38 & 11
• \end{array} \right] } \\
• { \left[ \begin{array} { l l l }
• 1 & 41 & 28
• \end{array} \right] \left[ \begin{array} { l l l }
• 18 & 13 & 14
• \end{array} \right] }
• \end{array}\]
• B)Uncoded: \[\begin{array} { l }
• { \left[ \begin{array} { l l l }
• 13 & 5 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• 18 & 25 & 0
• \end{array} \right] \left[ \begin{array} { l l l }
• 3 & 8 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• 9 & 19 & 20
• \end{array} \right] } \\
• \begin{array} { l l l l l l l l l l l l }
• M & \text { E } & \text { R } & \text { } & \text { R Y } &&&& \text { CR I } & & &\text { S } & \text { T }& \text { M }
• \end{array} \\
• { \left[ \begin{array} { l l l }
• 13 & 1 & 19
• \end{array} \right] } \\
• \text { M A S } \\
• \end{array}\] Encoded: \[\begin{array} { l }
• { \left[ \begin{array} { l l l }
• 18 & 13 & 14
• \end{array} \right] \left[ \begin{array} { l l l }
• 13 & 15 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• - 25 & - 11 & 43
• \end{array} \right] } \\
• { \left[ \begin{array} { l l l }
• 10 & 38 & 11
• \end{array} \right] \left[ \begin{array} { l c l }
• 1 & 41 & 28
• \end{array} \right] }
• \end{array}\]
• C)Uncoded: \[\begin{array} { l }
• { \left[ \begin{array} { l l l }
• 13 & 5 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• 18 & 25 & 0
• \end{array} \right] \left[ \begin{array} { l l l }
• 3 & 8 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• 9 & 19 & 20
• \end{array} \right] } \\
• \begin{array} { l l l l l l l l l l l l }
• M & \text { E } & \text { R }&&& \text {R Y } & &&\text { C R I } &&&& \text { S T M }
• \end{array} \\
• { \left[ \begin{array} { l l l }
• 13 & 1 & 19
• \end{array} \right] } \\
• \text { M A S } \\
• \end{array}\] Encoded: \[\begin{array} { l }
• { \left[ \begin{array} { l l l }
• - 25 & - 11 & 43
• \end{array} \right] \left[ \begin{array} { l l l }
• 10 & 38 & 11
• \end{array} \right] \left[ \begin{array} { l l l }
• 1 & 41 & 28
• \end{array} \right] } \\
• { \left[ \begin{array} { l l l }
• 18 & 13 & 14
• \end{array} \right] \left[ \begin{array} { l l l }
• 13 & 15 & 18
• \end{array} \right] }
• \end{array}\]
• D)Uncoded: \[\begin{array} { l }
• { \left[ \begin{array} { l l l }
• 13 & 5 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• 18 & 25 & 0
• \end{array} \right] \left[ \begin{array} { l l l }
• 3 & 8 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• 9 & 19 & 20
• \end{array} \right] } \\
• \begin{array} { l l l l l l l l l l l l }
• M & \text { E } & \text { R } &&\text { R Y } &&&& \text { C R I } &&&& \text { S T M}
• \end{array} \\
• { \left[ \begin{array} { l l l }
• 13 & 1 & 19
• \end{array} \right] } \\
• \text { M A S } \\
• \end{array}\] Encoded: \[\begin{array} { l }
• { \left[ \begin{array} { l l l }
• 10 & 38 & 11
• \end{array} \right] \left[ \begin{array} { l l l }
• 1 & 41 & 28
• \end{array} \right] \left[ \begin{array} { l l l }
• 18 & 13 & 14
• \end{array} \right] } \\
• { \left[ \begin{array} { l l l }
• 13 & 15 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• - 25 & - 11 & 43
• \end{array} \right] }
• \end{array}\]
• E)Uncoded: \[\begin{array} { l }
• { \left[ \begin{array} { l l l }
• 13 & 5 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• 18 & 25 & 0
• \end{array} \right] \left[ \begin{array} { l l l }
• 3 & 8 & 18
• \end{array} \right] \left[ \begin{array} { l l l }
• 9 & 19 & 20
• \end{array} \right] } \\
• \begin{array} { l l l l l l l l l l l l }
• M & \text { E } & \text { R } &&\text { R Y } &&&& \text { C R I } &&&& \text { S T M}
• \end{array} \\
• { \left[ \begin{array} { l l l }
• 13 & 1 & 19
• \end{array} \right] } \\
• \text { M A S } \\
• \end{array}\] Encoded: \[\begin{array} { l }
• { \left[ \begin{array} { l l l }
• 1 & 41 & 28
• \end{array} \right] \left[ \begin{array} { l l l }
• 18 & 13 & 14
• \end{array} \right] \left[ \begin{array} { l l l }
• 13 & 15 & 18
• \end{array} \right] } \\
• { \left[ \begin{array} { l l l }
• - 25 & - 11 & 43
• \end{array} \right] \left[ \begin{array} { l l l }
• 10 & 38 & 11
• \end{array} \right] } \\
• \end{array}\]

Identify the appropriate location for stating the main idea and specific details in a routine request.

Recognize how to effectively incorporate deadlines into a routine request.

Comprehend the function and organization of the opening, body, and closing parts of a routine request.

Understand the role of audience perception and compliance expectation in crafting routine requests.

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Definitions:

Reaction Formation

A defense mechanism in which unacceptable thoughts or desires are expressed as their opposites, often to hide one's true feelings.

Great Admiration

A feeling of profound respect and deep appreciation for someone or something's qualities or achievements.

Homosexual Desires

Sexual attraction or desire between members of the same sex.

Defense Mechanism

Psychological strategies brought into play by the unconscious mind to manipulate, deny, or distort reality in order to defend against feelings of anxiety and unacceptable impulses.