Chapter 1 - Linear Equations in Linear Algebra - 1.8 Exercises - Page 69: 14

Vectors point in the same direction, but have half the length $T(u)=\begin{bmatrix} 0.5 & 0\\ 0 & 0.5\\ \end{bmatrix}\begin{bmatrix} 5\\ 2\\ \end{bmatrix}=\begin{bmatrix} 2.5\\ 1\\ \end{bmatrix}$ $T(v)=\begin{bmatrix} 0.5 & 0\\ 0 & 0.5\\ \end{bmatrix}\begin{bmatrix} -2\\ 4\\ \end{bmatrix}=\begin{bmatrix} -1\\ 2\\ \end{bmatrix}$

$T(u)=\begin{bmatrix} 0.5 & 0\\ 0 & 0.5\\ \end{bmatrix}\begin{bmatrix} 5\\ 2\\ \end{bmatrix}=\begin{bmatrix} 2.5\\ 1\\ \end{bmatrix}$ $T(v)=\begin{bmatrix} 0.5 & 0\\ 0 & 0.5\\ \end{bmatrix}\begin{bmatrix} -2\\ 4\\ \end{bmatrix}=\begin{bmatrix} -1\\ 2\\ \end{bmatrix}$ Vectors graphed using Geogebra