Answer
Solution is$ \ \ x_1=2,x_2=-3$
Work Step by Step
The equation in $x_1$ and $x_2$ involves the vectors u, v, and w, and it may be viewed as
$\left[\begin{array}{ l l }u&v\end{array}\right]\left[\begin{array}{ l }x_1\\x_2\end{array}\right]=w$
By definition of a matrix-vector product,$x_1u+x_2v=w$. The stated fact that
2u – 3v – w = 0 can be rewritten as 2u – 3v = w.
So, a solution is$x_1=2,x_2=-3$
