Use Graphing Calculator to Find the Inverse of the Matrix $$A=\left[\begin{array}{ccc}1 / 3 & 2 / 7 & 4 / 5 \\17 / 11 & 5 & 0 \\18 / 13 & -5 / 6 & 8 / 7\end{array}\right]$$

question 11

Multiple Choice

Use graphing calculator to find the inverse of the matrix. Give 5 decimal places.
- $$A=\left[\begin{array}{ccc}1 / 3 & 2 / 7 & 4 / 5 \\17 / 11 & 5 & 0 \\18 / 13 & -5 / 6 & 8 / 7\end{array}\right]$$

• A) \( \left[\begin{array}{lll}0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0\end{array}\right] \)
• B) \( \left[\begin{array}{rrr}2.65952 & 0.15830 & -1.86167 \\ -9.04238 & -0.33824 & 6.32966 \\ 3.37129 & 0.05484 & -1.48490\end{array}\right] \)
• C) \( \left[\begin{array}{rrr}-1.10557 & 0.19216 & 0.77390 \\ 0.34172 & 0.14061 & -0.23920 \\ 1.58861 & -0.13028 & -0.23703\end{array}\right] \)
• D)
• \( \left[\begin{array}{lll}3 & 3.5 & 1.25 \\ 0.64706 & 5 & 0 \\ 0.72222 & -1.2 & 1.14286\end{array}\right] \)

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Definitions:

Demand Curve

A graph that represents the relationship between the price of a good or service and the quantity of it that consumers are willing and able to purchase at various prices.

Marginal Revenue Curve

A graphical representation showing how marginal revenue varies with changes in the quantity of goods sold, typically derived from the demand curve.

Price Increase

A rise in the cost of goods or services, which may reduce consumer purchasing power and lead to decreased demand.

Cartels

Groups of independent market participants who collude to control prices and output in a market, often to maximize joint profits.