Find the Inverse of the Matrix $$\left[ \begin{array} { r r } 1 & 1 \\3 & - 1\end{array} \right]$$

question 32

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { r r } 1 & 1 \\3 & - 1\end{array} \right]$$

• A) \(\left[ \begin{array} { l l } \frac { 3 } { 4 } & - \frac { 1 } { 4 } \\ \frac { 1 } { 4 } & \frac { 1 } { 4 } \end{array} \right]\)
• В) \(\left[ \begin{array} { r } - \frac { 1 } { 4 } \frac { 1 } { 4 } \\ \frac { 3 } { 4 } \frac { 1 } { 4 } \end{array} \right]\)
• C) \(\left[ \begin{array} { c c } \frac { 1 } { 4 } & \frac { 1 } { 4 } \\ \frac { 3 } { 4 } & - \frac { 1 } { 4 } \end{array} \right]\)
• D) \(\left[ \begin{array} { r } \frac { 1 } { 4 } - \frac { 1 } { 4 } \\ - \frac { 3 } { 4 } - \frac { 1 } { 4 } \end{array} \right]\)

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Definitions:

Public Choice Theory

An economic theory that applies principles of economics to analyze political behavior and decision-making.

Government Failure

Occurs when the government becomes the tool of the rent seeker and the allocation of resources is made even less efficient by the intervention of government.

Profit-maximizing Number

The output level at which a firm achieves the highest possible profit, where marginal cost equals marginal revenue.

Rent Seeker

An individual or entity that seeks to increase their share of existing wealth without creating new wealth, often through manipulation of the economic environment.