Find the Inverse of the Matrix, If It Exists
- $$A = \left[ \begin{array} { r r } 5 & 0 \\- 4 & - 6\end{array} \right]$$

question 42

Multiple Choice

Find the inverse of the matrix, if it exists
- $$A = \left[ \begin{array} { r r } 5 & 0 \\- 4 & - 6\end{array} \right]$$

• A)
• \[\left[ \begin{array} { c c }
• - \frac { 1 } { 6 } & 0 \\
• - \frac { 2 } { 15 } & \frac { 1 } { 5 }
• \end{array} \right]\]
• B) \(\mathrm { A }\) is not invertible
• C)
• \[\left[ \begin{array} { c c }
• \frac { 1 } { 5 } & 0 \\
• \frac { 2 } { 15 } & - \frac { 1 } { 6 }
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { c c }
• \frac { 1 } { 5 } & 0 \\
• - \frac { 2 } { 15 } & - \frac { 1 } { 6 }
• \end{array} \right]\]

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Definitions:

Market Outcomes

The results of economic transactions and interactions in a market, including prices and quantities of goods and services traded.

Scarce Resources

Resources that are limited in availability and can run out if not used efficiently, leading to the necessity of making choices on how to allocate them.

Invisible Hand

A metaphor introduced by Adam Smith to describe the self-regulating nature of the marketplace.

Economic Prosperity

The state of flourishing, thriving, good fortune, and/or successful social status in terms of wealth, health, and happiness.