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

Find the Complete Solution of the System {x+y+z=3x−y+z=−2x+y+3z=1\left\{ \begin{array} { r } x + y + z = 3 \\x - y + z = - 2 \\x + y + 3 z = 1\end{array} \right.⎩⎨⎧​x+y+z=3x−y+z=−2x+y+3z=1​

Multiple Choice