Chapter 4.4, Problem 36E

[M] Let H = Span{v₁,v₂, v₃} and B =    {v₁,v₂, v₃}. Show that B is a basis for H and x is in H, and find the B-coordinate vector of x, for

${\text{v}}_1=\left[\begin{array}{c}-6\\ 4\\ -9\\ 4\end{array}\right]$, ${\text{v}}_2=\left[\begin{array}{c}8\\ -3\\ 7\\ -3\end{array}\right]$, ${\text{v}}_3=\left[\begin{array}{c}-9\\ 5\\ -8\\ 3\end{array}\right]$, $\text{x}=\left[\begin{array}{c}4\\ 7\\ -8\\ 3\end{array}\right]$