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

Express the indicated vector $w$ as a linear combination of the given vectors $v_1$ and $v_2$ if this is possible. If not, show that it is impossible. $\mathbf{w}=?\begin{array}{r}?8\\ 0\\ 0\\ ?6\end{array}?,{\mathbf{v}}_1=?\begin{array}{r}3\\ ?4\\ 8\\ 5\end{array}?,{\mathbf{v}}_2=?\begin{array}{r}2\\ ?8\\ 16\\ 7\end{array}?$ Select the correct answer below, and fill in the answer box(es) to complete your choice. A. It is possible to express the vector $w$ in terms of ${\mathbf{v}}_1$ and ${\mathbf{v}}_2$, as $w=??{\mathbf{v}}_1+??{\mathbf{v}}_2$. (Type integers or fractions.) B. It is impossible to express the vector $w$ in terms of $v_1$ and $v_2$, because an echelon form of the augmented matrix $\left[\begin{array}{lll}{\mathbf{v}}_1& {\mathbf{v}}_2& \mathbf{w}\end{array}\right],\mathbf{E}=$, shows that the system is inconsistent. (Type an integer or simplified fraction for each matrix element.)