Find the Matrix Product AB, If It Is Defined A) $A B$

question 58

Multiple Choice

Find the matrix product AB, if it is defined.
- $$A = \left[ \begin{array} { r r r } 3 & - 2 & 1 \\0 & 4 & - 1\end{array} \right] , B = \left[ \begin{array} { r r } 4 & 0 \\- 2 & 2\end{array} \right] \text {. }$$

• A) \(A B\) is undefined.
• B)
• \[\left[ \begin{array} { r r }
• 12 & 0 \\
• 0 & 8
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { r r }
• 12 & - 6 \\
• - 8 & 12 \\
• 4 & - 4
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { r r r }
• 12 & - 8 & 4 \\
• - 6 & 12 & - 4
• \end{array} \right]\]

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Definitions:

Inferiority Complex

A psychological condition where an individual feels a deep sense of inadequacy and lack of worth compared to others, often leading to overcompensation or withdrawal.

Narcissistic Tendencies

Traits or behaviors characterized by an excessive preoccupation with oneself and a lack of empathy for others.

Superego

In Freudian psychoanalysis, the part of the personality that represents internalized societal norms and morals, and is responsible for feelings of guilt and the striving for perfection.

Neo-Freudians

Psychologists who were influenced by Freud's theories but developed their own theories that differed in significant ways, often emphasizing social and cultural factors.