Write the Augmented Matrix for the System $$\left\{ \begin{array} { r } 8 x - 2 z = 60 \\9 y + 7 z = 33 \\2 x - 2 y + 9 z = 74\end{array} \right.$$

question 207

Multiple Choice

Write the augmented matrix for the system.
- $$\left\{ \begin{array} { r } 8 x - 2 z = 60 \\9 y + 7 z = 33 \\2 x - 2 y + 9 z = 74\end{array} \right.$$

• A) \(\left[ \begin{array} { r r r | r } 8 & - 2 & 0 & 60 \\ 9 & 7 & 0 & 33 \\ 2 & - 2 & 9 & 74 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r | r } 8 & 0 & - 2 \\ 0 & 9 & 7 \\ 2 & - 2 & 9 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r | r } 8 & 0 & 2 & 60 \\ 0 & 9 & - 2 & 33 \\ - 2 & 7 & 9 & 74 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r | r } 8 & 0 & - 2 & 60 \\ 0 & 9 & 7 & 33 \\ 2 & - 2 & 9 & 74 \end{array} \right]\)

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Definitions:

Problem-focused Coping

Refers to strategies aimed directly at tackling the cause of stress, through actions that address the problem causing the distress.

Proactive Coping

Strategies employed to anticipate potential stressors and act in advance to prevent them or mitigate their effects.

Emotion-focused Coping

A coping strategy where individuals try to reduce the emotional impact of a stressor by using methods such as avoidance, minimization, or seeking social support.

Cognitive Restructuring

A psychotherapeutic process of learning to identify and dispute irrational or maladaptive thoughts known as cognitive distortions, such as all-or-nothing thinking or overgeneralization.