Write the Augmented Matrix Associated with the System $$\left\{ \begin{array} { r r } - 6 x + 5 y & = 6 \\2 y + & 3 z = - 6 \\- 9 z & = 7\end{array} \right.$$

question 164

Multiple Choice

Write the augmented matrix associated with the system.
- $$\left\{ \begin{array} { r r } - 6 x + 5 y & = 6 \\2 y + & 3 z = - 6 \\- 9 z & = 7\end{array} \right.$$

• A)
• \(\left[ \begin{array} { r r r | r } - 6 & 5 & 0 & 6 \\ 0 & 2 & 3 & - 6 \\ 0 & 0 & - 9 & 7 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r r r | r } - 6 & 5 & 6 & 0 \\ 2 & 3 & - 6 & 0 \\ - 9 & 7 & 0 & 0 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { r r r | r } - 6 & 5 & 0 & 6 \\ 2 & 3 & 0 & - 6 \\ 7 & 0 & 0 & 7 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { r r r | r } - 6 & 5 & 6 & 0 \\ 2 & 3 & 0 & - 6 \\ - 9 & 0 & 0 & 7 \end{array} \right]\)

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Definitions:

Congruent

In harmony or agreement; matching in character or kind.

Base-Rate Information

Pallid, factual, statistical information about an entire class of events.

Paired Distinctiveness

Illusory correlation in which items are seen as belonging together because they share some unusual feature.

Availability Heuristic

A cognitive short-cut in which the frequency or likelihood of an event is based on how quickly instances or associations come to mind.