Use Gaussian Elimination and Matrices to Solve the System of Linear

question 215

Multiple Choice

Use Gaussian elimination and matrices to solve the system of linear equations. Write your final augmented matrix in triangular form and then solve for each variable using back substitution.
- $$\begin{aligned}x - y + 4 z & = 16 \\4 x + z & = 5 \\x + 5 y + z & = 25\end{aligned}$$

• A)(0, 4, 5)
• B)(5, 4, 0)
• C)(0, 5, 4)
• D)(5, 0, 4)

---

Definitions:

Demand Equals

A state in a market where the quantity of a good or service desired by buyers is equal to the quantity supplied by sellers, resulting in market equilibrium.

Marginal Cost

The added expenditure resulting from creating an additional product or service unit.

Long Run

A period of time in which all factors of production and costs are variable, allowing all inputs to be adjusted.

Zero Economic Profit

A situation where total revenues are exactly equal to total costs, indicating no supernormal profit beyond the normal rate of return.