Find the Matrix Product AB, If It Is Defined $$A = \left[ \begin{array} { r r } 0 & - 3 \\4 & 3\end{array} \right] , B = \left[ \begin{array} { l l } - 2 & 0 \\- 1 & 1\end{array} \right]$$

question 11

Multiple Choice

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

• A)
• \(\left[ \begin{array} { r r } 3 & - 3 \\ - 11 & 3 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r r } 0 & 6 \\ - 4 & 3 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { r r } - 8 & - 6 \\ 4 & 6 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { r r } - 3 & 3 \\ - 5 & - 11 \end{array} \right]\)

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Definitions:

Independent Variable

An independent variable is a variable that is manipulated to determine its effects on another variable.

Normal Distribution

A probability distribution demonstrating symmetry around the mean, indicating that data points close to the mean occur more often than those far from it.

Multiple Regression

A mathematical method that depicts how a dependent variable is connected to two or more independent variables.

Variance Inflation Factor

A measure that quantifies the extent of multicollinearity in regression models, indicating how much the variance of an estimated regression coefficient is increased.