Either the Dimensions of Two Matrices or the Matrices Themselves $$A = \left[ \begin{array} { r } 1 \\- 3 \\2\end{array} \right] ; B = \left[ \begin{array} { r } - 1 \\3 \\2\end{array} \right]$$

question 136

Multiple Choice

Either the dimensions of two matrices or the matrices themselves are given. Find the dimensions of the product AB and
the product BA. If either is not defined, say so.
- $$A = \left[ \begin{array} { r } 1 \\- 3 \\2\end{array} \right] ; B = \left[ \begin{array} { r } - 1 \\3 \\2\end{array} \right]$$

• A) \(\mathrm { AB }\) is not defined; \(\mathrm { BA }\) is not defined
• B) \(\mathrm { AB }\) is \(1 \times 1\); BA is \(1 \times 1\).
• C) \(A B\) is \(3 \times 3\); \(B A\) is \(3 \times 3\).
• D) \(A B\) is \(1 \times 1\); \(B A\) is \(3 \times 3\).

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Definitions:

Freudian Psychologists

Psychologists who follow the theories of Sigmund Freud, particularly those related to the unconscious mind, psychosexual stages, and defense mechanisms.

Systematic Desensitization

A behavioral therapy technique used to reduce phobia and anxiety through gradual exposure to the feared object or situation combined with relaxation techniques.

Extinction

In behavioral psychology, the gradual weakening of a conditioned response that results in the behavior decreasing or disappearing.

Transformational Grammar

A theory of grammar that focuses on the syntactic transformations that relate surface structures and deep structures in language.