Chapter 3.4, Problem 7E

In Exercises 1 through 18, determine whether the vector $\stackrel{\to }{x}$is in the span V of the vectors ${\stackrel{\to }{v}}_1,\mathrm{...},{\stackrel{\to }{v}}_m$(proceed “by inspection” if possible, and use the reduced row-echelon form if necessary). If $\stackrel{\to }{x}$is in V, find the coordinates of $\stackrel{\to }{x}$ with respect to the basis $=\left({\stackrel{\to }{v}}_1,\mathrm{...},{\stackrel{\to }{v}}_m\right)$ of V, and write the coordinate vector

7. $\stackrel{\to }{x}=\left[\begin{array}{l}3\\ 1\\ -4\end{array}\right];{\stackrel{\to }{v}}_1=\left[\begin{array}{l}1\\ -1\\ 0\end{array}\right],{\stackrel{\to }{v}}_2=\left[\begin{array}{l}0\\ 1\\ -1\end{array}\right]$