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

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) $\left[ \begin{array} { c c c c } 1 & - 1 & 1 & 0 \\ 4 & - 1 & 1 & 0 \\ 1 & 1 & 2 & 0 \\ 1 & 0 & 1 & 1 \end{array} \right] \left[ \begin{array} { l } a \\ b \\ c \\ a \end{array} \right] = \left[ \begin{array} { l } 8 \\ 0 \\ 7 \\ 0 \end{array} \right] \quad$
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