Find the Inverse of a If It Has One, or State

question 97

Multiple Choice

Find the inverse of A if it has one, or state that the inverse does not exist.
- $$A = \left[ \begin{array} { r r } 2 & 8 \\3 & 12\end{array} \right]$$

• A)
• \[\left[ \begin{array} { r r }
• 12 & - 8 \\
• - 5 & 3
• \end{array} \right]\]
• B) Inverse does not exist
• C)
• \[\left[ \begin{array} { r r }
• 12 & - 8 \\
• - 3 & 2
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { c c }
• \frac { 1 } { 2 } & 0 \\
• 0 & \frac { 1 } { 12 }
• \end{array} \right]\]

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Definitions:

Marginal Analysis

An approach in economics used to examine the benefits and costs of an additional unit of production or action.

Annual Membership

A subscription or fee paid once a year to belong to a club, organization, or service, granting the member certain privileges, services, or access.

Crowded

A situation where a location or market is overly saturated with participants, leading to increased competition or decreased comfort.

Behavioral Economics

A field of economic research that examines how psychological, cognitive, emotional, cultural, and social factors affect economic decisions of individuals and institutions.