Write the Augmented Matrix for the System $$\begin{array} { l } 3 x + 6 y - 2 z = 41 \\6 x + 5 y + 3 z = 26 \\2 x + 8 y + 7 z = 47\end{array}$$

question 455

Multiple Choice

Write the augmented matrix for the system. Do not solve the system.
- $$\begin{array} { l } 3 x + 6 y - 2 z = 41 \\6 x + 5 y + 3 z = 26 \\2 x + 8 y + 7 z = 47\end{array}$$

• A)
• \[\left[ \begin{array} { r r r | r }
• 3 & 6 & 2 & 41 \\
• 6 & 5 & 8 & 26 \\
• - 2 & 3 & 7 & 47
• \end{array} \right]\]
• B)
• \(\left[ \begin{array} { r r r | r } 3 & 6 & - 2 & 41 \\ 6 & 5 & 3 & 26 \\ 2 & 8 & 7 & 47 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { r r r | r } 41 & - 2 & 6 & 3 \\ 26 & 3 & 5 & 6 \\ 47 & 7 & 8 & 2 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { r r r } 3 & 6 & - 2 \\ 6 & 5 & 3 \\ 2 & 8 & 7 \end{array} \right]\)

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Definitions:

Central Tendency

A statistical measure that identifies a single value as representative of an entire distribution, commonly using the mean, median, or mode.

Mean

The average value in a set of numbers, calculated by dividing the sum of all values by the number of values.

Prove Observations

The process of validating or verifying observed phenomena through repeated testing or experimental confirmation.

Interpret Observations

The process of explaining or finding the meaning in the data, actions, or events that one notices or records.