Use Matrices and Gaussian Elimination to Solve Systems
Solve the System

question 35

Multiple Choice

Use Matrices and Gaussian Elimination to Solve Systems
Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.
- $$\begin{aligned}x - y + 4 z & = 20 \\5 x + z & = 4 \\x + 3 y + z & = - 8\end{aligned}$$

• A) \(\{ ( 0 , - 4,4 ) \}\)
• B) \(\{ ( 0,4 , - 4 ) \}\)
• C) \(\{ ( 4 , - 4,0 ) \}\)
• D) \(\{ ( 4,0 , - 4 ) \}\)

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Definitions:

Confidence Level

The probability with which a statistical estimate can be expected to contain the true parameter value.

Confidence Interval

A band of values calculated from sample statistics, expected to enclose the value of a yet-to-be-identified population parameter.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much individual data points deviate from the mean.

Confidence Interval

A collection of values from sample statistics, which is anticipated to capture the value of an obscure population parameter.