Find the Inverse of the Matrix $$\left[ \begin{array} { c c } 1 & 4 \\- 4 & - 1\end{array} \right]$$

question 2

Multiple Choice

Find the inverse of the matrix. $$\left[ \begin{array} { c c } 1 & 4 \\- 4 & - 1\end{array} \right]$$

• A) \(\left[ \begin{array} { c c } \frac { 1 } { 15 } & - \frac { 4 } { 15 } \\ \frac { 4 } { 15 } & \frac { 1 } { 15 } \end{array} \right]\)
• B)
• \(\left[ \begin{array} { c c } - \frac { 1 } { 15 } & - \frac { 4 } { 15 } \\ - \frac { 4 } { 15 } & \frac { 1 } { 15 } \end{array} \right]\)
• C)
• \(\left[\begin{array}{cc}
• -\frac{1}{15} & \frac{4}{15} \\
• \frac{4}{15} & \frac{1}{15}
• \end{array}\right]\)
• D) \(\left[ \begin{array} { c c } - \frac { 1 } { 15 } & - \frac { 4 } { 15 } \\ \frac { 4 } { 15 } & \frac { 1 } { 15 } \end{array} \right]\)
• E) \(\left[ \begin{array} { c c } - \frac { 1 } { 15 } & - \frac { 4 } { 15 } \\ \frac { 4 } { 15 } & - \frac { 1 } { 15 } \end{array} \right]\)

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Definitions:

Substitutes

Substitutes are alternative products or services that consumers can use in place of another to fulfill the same needs or desires.

Cross-Price Elasticity

A measure of how the demand for one good responds to a change in the price of another good.

Income Elasticity

A measure of how much the demand for a good changes in response to a change in consumer income.

Demand

The quantity of a good or service that consumers are willing and able to purchase at various prices during a given period of time.