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 108

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:

Real Rate

The interest rate adjusted for inflation, representing the true cost of borrowing or the true return on investment.

Variance

A statistical measurement of the dispersion of a set of values, indicating how much the numbers in the set deviate from the mean or average of the set.

Deviations

Statistical variances or differences from a central value, such as the mean, indicating how spread out data points are.

Mean

A statistical measure of central tendency, commonly understood as the average value of a set of numbers.