Find the Products AB and BA to Determine Whether B $$A = \left[ \begin{array} { l l } 5 & 3 \\3 & 2\end{array} \right] , \quad B = \left[ \begin{array} { r r } 2 & - 3 \\- 3 & 5\end{array} \right]$$

question 1

Multiple Choice

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
- $$A = \left[ \begin{array} { l l } 5 & 3 \\3 & 2\end{array} \right] , \quad B = \left[ \begin{array} { r r } 2 & - 3 \\- 3 & 5\end{array} \right]$$

• A) \(B = A ^ { - 1 }\)
• B) \(\mathrm { B } \neq \mathrm { A } ^ { - 1 }\)

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Definitions:

Correlational Studies

Research methods that examine the relationship between two or more variables without manipulating them to determine cause and effect.

Experiments

Scientific procedures undertaken to make a discovery, test a hypothesis, or demonstrate a known fact.

Case Studies

In-depth analyses or investigations of particular instances or examples, often used to illustrate a specific point or to explore a phenomenon in detail.

External Validity

The extent to which the results of a study can be generalized or applied to other settings, populations, or times.