Find the Matrix Product AB, If It Is Defined A) $\mathrm { AB }$

question 64

Multiple Choice

Find the matrix product AB, if it is defined.
- $$A = \left[ \begin{array} { r r } - 1 & 3 \\1 & 6\end{array} \right] , B = \left[ \begin{array} { l l l } 0 & - 2 & 6 \\1 & - 3 & 2\end{array} \right]$$

• A) \(\mathrm { AB }\) is undefined.
• B)
• \[\left[ \begin{array} { r r }
• 0 & - 6 \\
• 18 & 1 \\
• - 18 & 12
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { r r r }
• 3 & 6 & - 7 \\
• - 20 & 0 & 18
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { r r r }
• 3 & - 7 & 0 \\
• 6 & - 20 & 18
• \end{array} \right]\]

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Definitions:

Cognitive Psychologist

A professional who studies mental processes such as perception, thought, memory, and reasoning, aiming to understand how people process and store information.

Information Processing

A cognitive approach that likens the brain to a computer, focusing on how information is received, processed, stored, and retrieved.

Psychoanalysis

A therapeutic approach that seeks to explore and understand unconscious thoughts, feelings, and memories, typically through dialogue between patient and therapist.

Unconscious Conflicts

Psychological struggles within the subconscious mind, often stemming from repressed feelings or experiences, that influence behavior and emotional states.