Solve the System of Linear Equations A) B) C) D)

question 7

Multiple Choice

Solve the system of linear equations
$$\left\{ \begin{array} { l } 6 x _ { 1 } - 12 x _ { 2 } - 6 x _ { 3 } - 12 x _ { 4 } = 0 \\18 x _ { 1 } - 30 x _ { 2 } - 12 x _ { 3 } - 18 x _ { 4 } = - 3 \\12 x _ { 1 } - 30 x _ { 2 } - 12 x _ { 3 } - 30 x _ { 4 } = 2 \\- 6 x _ { 1 } + 24 x _ { 2 } + 24 x _ { 3 } + 66 x _ { 4 } = 0 \\{ \left[ \begin{array} { c c c c } - 24 & 7 & 1 & - 2 \\- 10 & 3 & 0 & - 1 \\- 29 & 7 & 3 & - 2 \\12 & - 3 & - 1 & 1\end{array} \right] }\end{array} \right.$$

• A)
• \(\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 } \\
• x _ { 4 }
• \end{array} \right] = \left[ \begin{array} { c }
• - \frac { 19 } { 6 } \\
• - \frac { 3 } { 2 } \\
• - \frac { 5 } { 2 } \\
• \frac { 7 } { 6 }
• \end{array} \right]\)
• B)
• \(\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 } \\
• x _ { 4 }
• \end{array} \right] = \left[ \begin{array} { c }
• - \frac { 7 } { 6 } \\
• - \frac { 5 } { 6 } \\
• \frac { 3 } { 2 } \\
• - \frac { 3 } { 2 }
• \end{array} \right]\)
• C)
• \(\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 } \\
• x _ { 4 }
• \end{array} \right] = \left[ \begin{array} { c }
• - \frac { 3 } { 2 } \\
• - \frac { 19 } { 6 } \\
• 0 \\
• \frac { 7 } { 6 }
• \end{array} \right]\)
• D)
• \(\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 } \\
• x _ { 4 }
• \end{array} \right] = \left[ \begin{array} { c }
• - \frac { 1 } { 2 } \\
• \frac { 1 } { 6 } \\
• 0 \\
• \frac { 1 } { 3 }
• \end{array} \right]\)
• E)
• \(\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 } \\
• x _ { 4 }
• \end{array} \right] = \left[ \begin{array} { c }
• 0 \\
• - \frac { 1 } { 6 } \\
• 0 \\
• - \frac { 1 } { 3 }
• \end{array} \right]\)

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Definitions:

Option to Expand

The option to expand is a strategic flexibility available to companies, allowing them to increase their investment in a project based on future market conditions or performance indicators.

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The point where a business's cash inflows match its cash outflows, excluding non-cash expenses, indicating no net gain or loss.

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