Solve the Problem $A = \left[ \begin{array} { r r r } 2 & - 5 & 3 \\ - 2 & 6 & - 5 \\ - 4 & 7 & 0 \end{array} \right]$

Multiple Choice

Solve the problem.
-Describe all solutions of Ax = b, where $A = \left[ \begin{array} { r r r } 2 & - 5 & 3 \\ - 2 & 6 & - 5 \\ - 4 & 7 & 0 \end{array} \right]$ and $\mathbf { b } = \left[ \begin{array} { r } - 3 \\ 4 \\ 3 \end{array} \right]$
Describe the general solution in parametric vector form.

A) $\left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \end{array} \right] = \left[ \begin{array} { r } 7 / 2 \\ 2 \\ 1 \end{array} \right] + x _ { 3 } \left[ \begin{array} { l } 1 \\ 1 \\ 0 \end{array} \right]$
B)
$$\left[ \begin{array} { l } x _ { 1 } \\x _ { 2 } \\x _ { 3 }\end{array} \right] = \left[ \begin{array} { l } 1 \\1 \\0\end{array} \right] + x _ { 3 } \left[ \begin{array} { r } 7 / 2 \\2 \\0\end{array} \right]$$

C)
$$\left[ \begin{array} { l } x _ { 1 } \\x _ { 2 } \\x _ { 3 }\end{array} \right] = \left[ \begin{array} { l } 1 \\1 \\0\end{array} \right] + x _ { 3 } \left[ \begin{array} { r } 7 / 2 \\2 \\1\end{array} \right]$$
D)

$$\left[ \begin{array} { l } x _ { 1 } \\x _ { 2 } \\x _ { 3 }\end{array} \right] = \left[ \begin{array} { r } - 3 \\1 \\0\end{array} \right] + x _ { 3 } \left[ \begin{array} { r } - 1 \\2 \\1\end{array} \right]$$