Chapter 4.4, Problem 2E

To determine

To find: The component form of the given matrixand the graph for it.

Answer to Problem 2E

The component form of $\overline{XY}$ is $\langle -5,-5\rangle$ and the graph for it is shown in Figure 1

Explanation of Solution

Given:

The given matrix are $X=\left[\begin{array}{c}8\\ 0\end{array}\right]$ and $Y=\left[\begin{array}{c}3\\ -5\end{array}\right]$ .

Calculation:

Consider the given matrix are,

  $\begin{array}{l}X=\left[\begin{array}{c}8\\ 0\end{array}\right]\\ Y=\left[\begin{array}{c}3\\ -5\end{array}\right]\end{array}$

Consider the difference of the matrix as,

  $\begin{array}{c}Y-X=\left[\begin{array}{c}3\\ -5\end{array}\right]-\left[\begin{array}{c}8\\ 0\end{array}\right]\\ =\left[\frac{-5}{-5}\right]\end{array}$

Thus, the component form of $\overline{XY}$ is $\langle -5,-5\rangle$ .

The graph for the component is shown in Figure 1

  

Figure 1