Solve the Linear System Using an Inverse Matrix $$\begin{aligned}x + 2 y + 3 z & = 1 \\x + y + z & = 10 \\x - 2 z & = 7\end{aligned}$$

question 26

Multiple Choice

Solve the linear system using an inverse matrix.
- $$\begin{aligned}x + 2 y + 3 z & = 1 \\x + y + z & = 10 \\x - 2 z & = 7\end{aligned}$$

• A) \(( 31 , - 33,12 )\)
• B) \(( 21 , - 32,12 )\)
• C) \(( 49,67,28 )\)
• D) \(( 1,0,0 )\)

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Definitions:

Oligopolist

A market participant in an oligopoly, a market structure dominated by a small number of large firms, influencing pricing and competition.

Cartel

An association of independent businesses organized to control production, pricing, and marketing of goods to limit competition.

Competitors

Entities or firms in the same industry or market that offer similar goods or services to consumers.

Herfindahl-Hirschman Index

A measure of market concentration used to determine the level of competition within an industry, calculated by summing the squares of the market shares of each firm within the sector.