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

question 2

Multiple Choice

Solve the system of linear equations
$\left\{ \begin{array} { l } 4 x _ { 1 } - 8 x _ { 2 } - 4 x _ { 3 } - 8 x _ { 4 } = 0 \\ 12 x _ { 1 } - 20 x _ { 2 } - 8 x _ { 3 } - 12 x _ { 4 } = - 9 \\ 8 x _ { 1 } - 20 x _ { 2 } - 8 x _ { 3 } - 20 x _ { 4 } = 6 \\ - 4 x _ { 1 } + 16 x _ { 2 } + 16 x _ { 3 } + 44 x _ { 4 } = 0 \end{array} \mid \left[ \begin{array} { c c c c } - 24 & 7 & 1 & - 2 \\ - 10 & 3 & 0 & - 1 \\ - 29 & 7 & 3 & - 2 \\ 12 & - 3 & - 1 & 1 \end{array} \right] . \right.$

• A)
• \(\left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \\ x _ { 4 } \end{array} \right] = \left[ \begin{array} { c } - \frac { 57 } { 4 } \\ - \frac { 27 } { 4 } \\ - \frac { 45 } { 4 } \\ \frac { 21 } { 4 } \end{array} \right]\)
• B)
• \(\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 } \\
• x _ { 4 }
• \end{array} \right] = \left[ \begin{array} { c }
• - \frac { 21 } { 4 } \\
• - \frac { 15 } { 4 } \\
• \frac { 27 } { 4 } \\
• - \frac { 27 } { 4 }
• \end{array} \right]\)
• C)
• \(\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 } \\
• x _ { 4 }
• \end{array} \right] = \left[ \begin{array} { c }
• - \frac { 27 } { 4 } \\
• - \frac { 57 } { 4 } \\
• 0 \\
• \frac { 21 } { 4 }
• \end{array} \right]\)
• D)
• \(\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 } \\
• x _ { 4 }
• \end{array} \right] = \left[ \begin{array} { c }
• - \frac { 9 } { 4 } \\
• \frac { 3 } { 4 } \\
• 0 \\
• \frac { 3 } { 2 }
• \end{array} \right]\)
• E)
• \(\left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 } \\
• x _ { 4 }
• \end{array} \right] = \left[ \begin{array} { c }
• 0 \\
• - \frac { 3 } { 4 } \\
• 0 \\
• - \frac { 3 } { 2 }
• \end{array} \right]\)

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Definitions:

Constant

In finance, this often refers to a fixed value or number that does not change over time in formulas or calculations.

Growth Opportunities

Potential scenarios or projects that might result in an increase of value or expansion for a business.

Earnings Per Share

A financial metric that divides a company's profit available to shareholders by the outstanding shares, indicating the profitability on a per-share basis.

Required Rate Of Return

The minimum annual percentage of gain an investment must generate to be considered acceptable to an investor.