Find All Solutions of the System A) $\left( 2 , - \frac { 3 } { 2 } , - \frac { 3 } { 2 } , - 3 \right)$

Find all solutions of the system. $$\left\{ \begin{aligned}x + y - 3 z + 2 w & = - 1 \\- 2 x - 2 y + 6 z + w & = - 13 \\- x + 3 y + 3 z + 3 w & = - 20 \\2 x + y - 3 z - w & = 10\end{aligned} \right.$$

A) $\left( 2 , - \frac { 3 } { 2 } , - \frac { 3 } { 2 } , - 3 \right)$
B) $\left( - 5 , \frac { 3 } { 2 } , - \frac { 5 } { 2 } , 2 \right)$
C) $\left( - \frac { 3 } { 2 } , - 3 , - 4,2 \right)$
D) $\text { The system is dependent. }$
E) $\text { The system is inconsistent. }$

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