Use Gaussian Elimination to Solve the System $\begin{array}{r}2 x+3 y-12 z=1 \\x-2 y+z=4 \\4 x+y-14 z=7\end{array}$

question 12

Essay

Use Gaussian elimination to solve the system.
$\begin{array}{r}2 x+3 y-12 z=1 \\x-2 y+z=4 \\4 x+y-14 z=7\end{array}$

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Definitions:

Dividends

Distributions of earnings given by a company to its stockholders, typically from the profits made.

Labor Supply Curves

Graphical representation showing the relationship between different wage levels and the quantity of labor workers are willing to supply, generally sloping upwards indicating that higher wages attract more labor.

Movements of Workers

Refers to the geographical or occupational mobility of labor, which includes migration or changes in jobs within or across industries.

Increases in Productivity

An improvement in the efficiency of producing goods and services, often resulting in more output for the same amount of input.