Find the Inverse Matrix of A $$A = \left[ \begin{array} { r r r } 0 & 1 & 1 \\- 5 & 0 & 6 \\0 & 4 & 0\end{array} \right]$$

question 161

Multiple Choice

Find the inverse matrix of A.
- $$A = \left[ \begin{array} { r r r } 0 & 1 & 1 \\- 5 & 0 & 6 \\0 & 4 & 0\end{array} \right]$$

• A)
• \[\left[ \begin{array} { c c c }
• \frac { 6 } { 5 } & 0 & 1 \\
• - \frac { 1 } { 5 } & 0 & 0 \\
• - \frac { 3 } { 10 } & \frac { 1 } { 4 } & - \frac { 1 } { 4 }
• \end{array} \right]\]
• B)
• \(\left[\begin{array}{ccr}
• \frac{6}{5} & -\frac{1}{5} & -\frac{3}{10} \\
• 0 & 0 & \frac{1}{4} \\
• 1 & 1 & -\frac{1}{4}
• \end{array}\right]\)
• C)
• \(\left[\begin{array}{rrr}
• \frac{6}{5} & -\frac{1}{5} & -\frac{3}{10} \\
• 0 & 0 & \frac{1}{4} \\
• 1 & 0 & -\frac{1}{4}
• \end{array}\right]\)
• D)
• \[\left[ \begin{array} { r r r }
• - \frac { 6 } { 5 } & - \frac { 1 } { 5 } & - \frac { 3 } { 10 } \\
• - \frac { 1 } { 4 } & 0 & \frac { 1 } { 4 } \\
• 1 & 0 & 0
• \end{array} \right]\]

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Definitions:

AVC Curve

A graph representing the Average Variable Cost of producing different quantities of output, typically showing how AVC decreases and then increases.

Market Demand

The overall sum of a particular good or service that every customer in a market is eager and able to acquire at a range of prices.

Equilibrium Price

The market price at which the quantity demanded equals the quantity supplied, leading to market equilibrium.

Purely Competitive Market

A market structure characterized by a large number of small firms, identical products, and free entry and exit, leading to price-taking behavior.