Let $A = \left[ \begin{array} { l l } e & 0 \\0 & a\end{array} \right]$

question 72

Multiple Choice

Let $A = \left[ \begin{array} { l l } e & 0 \\0 & a\end{array} \right]$ where e and a are nonzero constants. Find $\mathrm { A } ^ { - 1 }$

• A) \(\left[ \begin{array} { c } \frac { 1 } { e } {1} \\ 1 \frac { 1 } { a } \end{array} \right]\)
• B) \(\left[ \begin{array} { l l } 0 & e \\ a & 0 \end{array} \right]\)
• C) \(\left[ \begin{array} { l l } e & 0 \\ 0 & a \end{array} \right]\)

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Definitions:

Government Intervention

Actions taken by a government to affect the economy in various ways, such as through regulations, taxes, subsidies, or direct provision of goods and services.

Beneficiaries

Individuals or groups that receive benefits or advantages from something, typically from a trust, insurance policy, or a program.

Pigouvian Tax

A tax imposed on any market activity that generates negative externalities, intended to correct an undesirable or inefficient market outcome.

Socially Optimal

A condition or outcome that maximizes the overall welfare of society, often considered in economics and public policy to evaluate efficiency and equity.