Find the Inverse of the Matrix $\left[ \begin{array} { c c } - 16 & 22 \\- 8 & 11\end{array} \right]$

question 76

Multiple Choice

Find the inverse of the matrix $\left[ \begin{array} { c c } - 16 & 22 \\- 8 & 11\end{array} \right]$ (if it exists) .

• A)does not exist
• B) \(- \frac { 1 } { 16 }\) \(\left[ \begin{array} { c c }
• 11 & - 22 \\
• 8 & - 16
• \end{array} \right]\)
• C) \(\frac { 1 } { 11 }\) \(\left[ \begin{array} { c c }
• - 16 & 22 \\
• - 8 & 11
• \end{array} \right]\)
• D) \(- \frac { 1 } { 22 }\) \(\left[ \begin{array} { c c }
• - 11 & 22 \\
• - 8 & 16
• \end{array} \right]\)
• E) \(\frac { 1 } { 8 }\) \(\left[ \begin{array} { c c }
• 11 & - 22 \\
• 8 & - 16
• \end{array} \right]\)

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Definitions:

Cost of Living

The total amount of money required to cover basic expenses such as housing, food, taxes, and healthcare in a certain place and time.

Utility Function

An equation representing a consumer's prioritization of various bundles of goods, thereby indicating their perceived benefit or welfare from those choices.

Consumption

The action of using up a resource or goods, often associated with the demand side of economics.

Income

Earnings received by an individual or business in exchange for work, services, or investments, typically measured over a certain period of time.