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:

Return On Investment

A performance measure used to evaluate the efficiency or profitability of an investment or compare the efficiency of several different investments.

Selling Price

The sum of money that a purchaser spends to acquire a good or service.

Absorption Costing

A strategy for calculating product costs that includes every aspect of manufacturing expenses: direct materials, direct labor, and all overhead costs, both variable and fixed.

Markup

The amount added to the cost of goods to cover overhead and profit; a percentage of cost.