Translate the Given System of Equations into Matrix Form $\left\{ \begin{aligned}x - 5 y & = 9 + z \\- 8 x - 7 z & = 12 \\y & = - x - 3 z + 11\end{aligned} \right\}$

question 64

Multiple Choice

Translate the given system of equations into matrix form. $\left\{ \begin{aligned}x - 5 y & = 9 + z \\- 8 x - 7 z & = 12 \\y & = - x - 3 z + 11\end{aligned} \right\}$

• A) \(\left[ \begin{array} { c c c }
• 1 & - 8 & 1 \\
• - 5 & 0 & 1 \\
• - 1 & - 7 & 3
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 9 \\
• 12 \\
• 11
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c }
• 1 & - 8 & - 1 \\
• - 5 & 0 & 1 \\
• - 1 & - 7 & - 3
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 9 \\
• 12 \\
• 11
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c }
• 1 & - 8 & 1 \\
• 5 & 0 & 1 \\
• 1 & 7 & - 3
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 9 \\
• 12 \\
• 11
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c }
• 1 & - 5 & 1 \\
• - 8 & 0 & - 7 \\
• 1 & 1 & 3
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 9 \\
• 12 \\
• 11
• \end{array} \right]\)
• E) \(\left[ \begin{array} { c c c }
• 1 & - 5 & 1 \\
• - 8 & 0 & - 7 \\
• 1 & 1 & - 3
• \end{array} \right] \cdot \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 9 \\
• 12 \\
• 11
• \end{array} \right]\)

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Definitions:

Social Inequality

A condition where societal resources, opportunities, and privileges are distributed unequally among people in a society.

Living Standards

The level of wealth, comfort, material goods, and necessities available to a certain socioeconomic class or geographic area.

Worker Autonomy

The degree to which employees have the freedom, independence, and discretion in scheduling their work and determining the procedures carried out in their jobs.

Technological Determinism

The theory that a society's technology drives the development of its social structure and cultural values.