Use Gaussian Elimination to Solve the System $\begin{aligned}x+2 y-3 z &=3 \\4 x+y+2 z &=-2 \\2 x-3 y+8 z &=5\end{aligned}$

question 30

Short Answer

Use Gaussian elimination to solve the system.
$\begin{aligned}x+2 y-3 z &=3 \\4 x+y+2 z &=-2 \\2 x-3 y+8 z &=5\end{aligned}$

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Definitions:

Diminishing Marginal Utility

The decrease in satisfaction or usefulness obtained from each additional unit of consumption.

Inferior Good

A type of good for which demand decreases as the income of the consumer increases, due to the availability of more desirable substitutes.

Diminishing Marginal Utility

The principle that as a person consumes more of a good, the satisfaction gained from consuming an additional unit decreases.

Comparative Advantage

The ability to produce a good at a lower opportunity cost than others can produce it. Relative costs determine comparative advantage.