(Solved): Express the indicated vector w as a linear combination of the given vectors v1,v2, and v3 ...

Express the indicated vector $w$ as a linear combination of the given vectors $v_1,v_2$, and $v_3$ if this is possible. If not, show that it is impossible. $\mathbf{w}=\left[\begin{array}{r}-4\\ 8\\ 8\end{array}\right],{\mathbf{v}}_1=\left[\begin{array}{r}2\\ -1\\ 4\end{array}\right],{\mathbf{v}}_2=\left[\begin{array}{l}3\\ 0\\ 1\end{array}\right],{\mathbf{v}}_3=\left[\begin{array}{r}1\\ 4\\ -1\end{array}\right]$ Select the correct answer below, and fill in the answer box(es) to complete your choice. A. It is impossible to express the vector $w$ in terms of $v_1,v_2$, and $v_3$, because an echelon form of the augmented matrix $A=\left[\begin{array}{llll}{v}_1& v_2& v_3& w\end{array}\right],E=$, shows that the system is inconsistent. (Type an integer or simplified fraction for each matrix element.) B. It is possible to express the vector $w$ in terms of ${\mathbf{v}}_1,{\mathbf{v}}_2$, and ${\mathbf{v}}_3$, as $w=||{\mathbf{v}}_1+\left|{\mathbf{v}}_2+\right|\mid {\mathbf{v}}_3$. (Type integers or fractions.)