Use an Inverse Matrix to Find the Solution to the System

question 194

Multiple Choice

Use an inverse matrix to find the solution to the system.
- $$\left\{ \begin{array} { l } - 3 x - 7 y - 2 z = - 43 \\- 9 x + 6 y + 5 z = 2 \\- 5 x - 7 y + 5 z = - 4\end{array} \right.$$

• A) \(x = 5 , y = 2 , z = 7\)
• B) \(x = 2 , y = 7 , z = 2\)
• C) \(x = 6 , y = 0 , z = 7\)
• D) \(x = 5 , y = - 2 , z = - 7\)

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Definitions:

Opportunity Cost

Dismissing potential benefits from other possible choices by focusing on one.

Scarce Resources

Natural or human resources that are limited in supply and cannot fulfill all wants and needs due to their finite availability.

Free Lunch

An idiom expressing the idea that it is impossible to get something for nothing; in economics, it refers to the impossibility of getting a benefit without a cost.

Scarce

Limited in availability relative to the demand.