Solve the Problem A) B) $$\left[ \begin{array} { l } x _ { 1 } \\x _ { 2 } \\x _ { 3 }\end{array} \right] = \left[ \begin{array} { r } - 3 \\3 \\1\end{array} \right]$$

question 19

Multiple Choice

Solve the problem.
-Find the general solution of the homogeneous system below. Give your answer as a vector. $$\begin{array} { r } x _ { 1 } + 2 x _ { 2 } - 3 x _ { 3 } = 0 \\4 x _ { 1 } + 7 x _ { 2 } - 9 x _ { 3 } = 0 \\- x _ { 1 } - 4 x _ { 2 } + 9 x _ { 3 } = 0\end{array}$$

• A)
• \[\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = x _ { 3 } \left[ \begin{array} { r }
• 3 \\
• - 3 \\
• 1
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { r }
• - 3 \\
• 3 \\
• 1
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = x _ { 3 } \left[ \begin{array} { r }
• - 3 \\
• 3 \\
• 1
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = x _ { 3 } \left[ \begin{array} { r }
• - 3 \\
• 3 \\
• 0
• \end{array} \right]\]

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Definitions:

Monopolist Engages

Refers to actions taken by a monopolistic firm to maintain or enhance its market power, which can include setting prices or limiting supply.

Price Discrimination

The strategy of selling the same product to different customers at different prices based on their willingness to pay.

Market Segmentation

The process of dividing a broad consumer or business market, normally consisting of existing and potential customers, into subsets of consumers (known as segments) based on some shared characteristics.

Monopoly Power

The market dominance of a single supplier, often characterized by the ability to control prices and exclude competition.