Translate the Given System of Equations into Matrix Form $\left\{ \begin{array} { r } x + y - z = 1 \\8 x + y + z = 3 \\\frac { 3 x } { 4 } + \frac { z } { 2 } = 4\end{array} \right\}$

question 1

Multiple Choice

Translate the given system of equations into matrix form. $\left\{ \begin{array} { r } x + y - z = 1 \\8 x + y + z = 3 \\\frac { 3 x } { 4 } + \frac { z } { 2 } = 4\end{array} \right\}$

• A) \(\left[ \begin{array} { c c c }
• 4 & 1 & - 1 \\
• 8 & 1 & 1 \\
• \frac { 3 } { 4 } & 0 & \frac { 1 } { 2 }
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { l }
• 1 \\
• 4 \\
• 3
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c }
• 1 & 1 & - 1 \\
• 8 & 1 & 1 \\
• \frac { 3 } { 4 } & 0 & \frac { 1 } { 2 }
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { l }
• 4 \\
• 3 \\
• 1
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c }
• 1 & 1 & - 1 \\
• 4 & 1 & 1 \\
• \frac { 3 } { 8 } & 0 & \frac { 1 } { 2 }
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { l }
• 1 \\
• 3 \\
• 4
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c }
• 8 & 1 & - 1 \\
• 1 & 1 & 1 \\
• \frac { 3 } { 4 } & 0 & \frac { 1 } { 2 }
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { l }
• 1 \\
• 3 \\
• 4
• \end{array} \right]\)
• E) \(\left[ \begin{array} { c c c }
• 1 & 1 & - 1 \\
• 8 & 1 & 1 \\
• \frac { 3 } { 4 } & 0 & \frac { 1 } { 2 }
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { l }
• 1 \\
• 3 \\
• 4
• \end{array} \right]\)

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Definitions:

Self-Silencing

The act of suppressing one's thoughts, feelings, or needs to maintain relationships or avoid conflict.

Relational Authenticity

The genuine and honest expression of one's feelings, thoughts, and being in the context of interpersonal relationships.

Gender Socialization

The process by which individuals learn and internalize the roles, behaviors, and norms expected of them according to their assigned gender in their culture.

Gender Segregation

The practice of separating individuals based on their gender, which can occur in social, educational, or professional settings, often reinforcing stereotypical roles and inequalities.