Write the Augmented Matrix for the System of Linear Equations $\left\{ \begin{array} { r } x - 8 y + 8 z = 9 \\8 y - 9 z = 1 \\x + z = 7\end{array} \right.$

question 57

Multiple Choice

Write the augmented matrix for the system of linear equations.
$\left\{ \begin{array} { r } x - 8 y + 8 z = 9 \\8 y - 9 z = 1 \\x + z = 7\end{array} \right.$

• A) \(\left[ \begin{array} { c c c : c } 1 & - 8 & 8 & 9 \\ 1 & 8 & - 9 & 1 \\ 1 & 1 & 1 & 7 \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c : c } 1 & - 8 & 8 & 9 \\ 0 & 8 & - 9 & 1 \\ 1 & 0 & 1 & 7 \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c : c } 1 & - 8 & 8 & 9 \\ & 8 & - 9 & 1 \\ 1 & & 1 & 7 \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c : c } 1 & - 8 & 8 & 9 \\ 8 & - 9 & 0 & 1 \\ 1 & 1 & 0 & 7 \end{array} \right]\)
• E) \(\left[ \begin{array} { c c c : c } 1 & - 8 & 8 & 9 \\ 0 & 8 & - 9 & 1 \\ 1 & 1 & 0 & 7 \end{array} \right]\)

---

Definitions:

Individualism

A moral, political, or social outlook that emphasizes the moral worth of the individual and the importance of individual self-reliance and independence.

Norms

Understood rules for accepted and expected behavior. Norms prescribe “proper” behavior.

Negative Arousal

A state of being emotionally stimulated in a negative way, such as feeling stressed, angry, or scared, often leading to psychological discomfort.

Cognitive Dissonance

The mental discomfort experienced by an individual who holds two or more contradictory beliefs, ideas, or values.