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

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