Find the Product, AB, If Possible A) $\left[ \begin{array} { r r r } 12 & 18 & 5 \\ - 36 & 5 & 30 \\ 16 & - 16 & 12 \end{array} \right]$

question 51

Multiple Choice

Find the product, AB, if possible.
- $$A = \left[ \begin{array} { r r r } - 2 & - 2 & - 1 \\6 & 5 & - 5 \\4 & - 4 & 4\end{array} \right] , B = \left[ \begin{array} { r r r } - 6 & - 9 & - 5 \\- 6 & 1 & - 6 \\4 & 4 & 3\end{array} \right]$$

• A) \(\left[ \begin{array} { r r r } 12 & 18 & 5 \\ - 36 & 5 & 30 \\ 16 & - 16 & 12 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r } - 2 & - 2 & - 1 \\ 6 & 5 & - 5 \\ 4 & - 4 & 4 \\ - 6 & - 9 & - 5 \\ - 6 & 1 & - 6 \\ 4 & 4 & 3 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r } 20 & - 86 & 16 \\ 12 & 12 & - 24 \\ 19 & - 75 & 16 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r } 20 & 12 & 19 \\ - 86 & - 69 & - 75 \\ 16 & - 24 & 16 \end{array} \right]\)

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Definitions:

Significance Level

A threshold for determining whether a statistical result obtained is not attributed to chance, commonly set at values like 0.05, indicating a 5% risk of error.

Statistically Significant

A measure used to determine if the results of a study are unlikely to have occurred by random chance alone, often through a p-value.

Confidence Interval

A collection of values, drawn from sample data, that is presumed to capture the value of a not yet known population characteristic.

National Average

The average of a specific set of measurements or data points across the entire nation.