Write the Augmented Matrix for the System $\begin{aligned}- 5 x + 2 y & & = - 3 \\- 5 y - & 6 z & = 9 \\& 5 z & = - 5\end{aligned}$

question 226

Multiple Choice

Write the augmented matrix for the system. Do not solve the system.
$\begin{aligned}- 5 x + 2 y & & = - 3 \\- 5 y - & 6 z & = 9 \\& 5 z & = - 5\end{aligned}$

• A) \(\left[ \begin{array} { r r r | r }
• - 5 & 2 & - 3 & 0 \\
• - 5 & - 6 & 0 & 9 \\
• 5 & 0 & 0 & - 5
• \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r | r }
• - 5 & 2 & 0 & - 3 \\
• - 5 & - 6 & 0 & 9 \\
• - 5 & 0 & 0 & - 5
• \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r | r }
• - 5 & 2 & 0 & - 3 \\
• 0 & - 5 & - 6 & 9 \\
• 0 & 0 & 5 & - 5
• \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r | r }
• - 5 & 2 & - 3 & 0 \\
• - 5 & - 6 & 9 & 0 \\
• 5 & - 5 & 0 & 0
• \end{array} \right]\)

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Definitions:

Population Variances

A measure of the spread between numbers in a data set, showing how much each number differs from the mean of the population.

Test Statistic

A quantity derived from sample data used to decide whether to reject the null hypothesis in hypothesis testing.

F Distribution

A statistical distribution used in analysis of variance, displaying possible values a statistic might have for complex comparisons.

Test Statistic

A uniform measure utilized in statistical hypothesis testing to decide on the rejection of the null hypothesis.