Write the System of Equations in Matrix Form $$\left\{ \begin{array} { l } a - b + c = 8 \\4 a - b + c = 0 \\a + b + 2 c = 7 \\a + c + d = 0\end{array} \right.$$

question 9

Multiple Choice

Write the system of equations in matrix form. $$\left\{ \begin{array} { l } a - b + c = 8 \\4 a - b + c = 0 \\a + b + 2 c = 7 \\a + c + d = 0\end{array} \right.$$

• A) \(\left[ \begin{array} { c c c c }
• 1 & - 1 & 1 & 0 \\
• 4 & - 1 & 1 & 0 \\
• 1 & 1 & 2 & 0 \\
• 1 & 0 & 1 & 1
• \end{array} \right] \left[ \begin{array} { l }
• a \\
• b \\
• c \\
• a
• \end{array} \right] = \left[ \begin{array} { l }
• 8 \\
• 0 \\
• 7 \\
• 0
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c c }
• 8 & - 1 & 1 & 0 \\
• 0 & - 1 & 1 & 0 \\
• 7 & 1 & 2 & 0 \\
• 0 & 0 & 1 & 1
• \end{array} \right] \left[ \begin{array} { l }
• a \\
• b \\
• c \\
• a
• \end{array} \right] = \left[ \begin{array} { l }
• 1 \\
• 4 \\
• 1 \\
• 1
• \end{array} \right]\)
• C) \(\left[ \begin{array} { l l l l }
• 8 & 1 & 1 & 0 \\
• 0 & 4 & 1 & 0 \\
• 7 & 1 & 2 & 0 \\
• 0 & 1 & 1 & 1
• \end{array} \right] \left[ \begin{array} { l }
• a \\
• b \\
• c \\
• a
• \end{array} \right] = \left[ \begin{array} { l }
• 0 \\
• 0 \\
• 0 \\
• 1
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c }
• 1 & - 1 & 1 \\
• 4 & - 1 & 1 \\
• 1 & 1 & 2
• \end{array} \right] \left[ \begin{array} { l }
• a \\
• b \\
• c
• \end{array} \right] = \left[ \begin{array} { l }
• 8 \\
• 0 \\
• 7
• \end{array} \right]\)
• E) none

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Definitions:

WACC

The Weighted Average Cost of Capital is the average rate of return a company is expected to pay its shareholders for using their capital.

Unsuitable Projects

Projects that are not appropriate or ideal for meeting the strategic, operational, or financial goals of an organization.

Yield-to-Maturity

The total return anticipated on a bond if it is held until it matures, accounting for interest payments and repayment of capital.

Cost of Debt

The effective rate that a company pays on its total debt, representing the interest expense on outstanding debt.