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

question 5

Multiple Choice

Find the inverse of A if it has one, or state that the inverse does not exist.
- $$A = \left[ \begin{array} { r r r } 1 & 0 & 0 \\- 1 & 1 & 0 \\1 & 1 & 1\end{array} \right]$$

• A) Inverse does not exist
• B)
• \[\left[ \begin{array} { r r r }
• 1 & 0 & 0 \\
• 1 & 1 & 0 \\
• - 2 & - 1 & 1
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { r r r }
• - 1 & 0 & 0 \\
• - 1 & - 1 & 0 \\
• - 1 & - 1 & - 1
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { l l l }
• 1 & 1 & 1 \\
• 0 & 1 & 1 \\
• 0 & 0 & 1
• \end{array} \right]\]

---

Definitions:

Economic Generalizations

General statements that summarize common relationships or patterns within an economy, often derived from empirical observations and economic theory.

Purposeful Behavior

Actions taken with intention and goal-directed motivation, often considered in economic theory as rational choice.

Economic Theories

Conceptual frameworks explaining how economies function and the relationships between different economic agents and factors.