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

Given A=[3524]A = \left[ \begin{array} { l l } 3 & 5 \\2 & 4\end{array} \right]A=[32​54​]

Essay