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)

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Definitions:

Income

Regular payments or earnings received from labor or investments.

Nuts

Edible seeds enclosed in a hard shell, often used in the context of food and nutrition.

Berries

Little, fleshy fruits that are commonly fit for consumption, characterized by their juiciness, round appearance, vibrant hues, and a taste that may be either sweet or tart.

Min Function

A mathematical function used to determine the smallest value among a set of numbers or inputs.