Chapter 1.8, Problem 14E

In Exercises 13-16, use a rectangular coordinate system to plot $\text{u}=\left[\begin{array}{c}5\\ 2\end{array}\right]$, $\text{v}=\left[\begin{array}{c}-2\\ 4\end{array}\right]$, and their images under the given transformation T. (Make a separate and reasonably large sketch for each exercise.) Describe geometrically what T does to each vector x in ℝ².

14. $T(\text{x})=\left[\begin{array}{cc}.5& 0\\ 0& .5\end{array}\right]\left[\begin{array}{c}{x}_1\\ x_2\end{array}\right]$