Linear Algebra with Applications, 10th Edition

Graphics

If x and y are vectors of the same length, the command plot(x, y) will produce a plot of all the $(x_i,y_i)$ pairs, and each point will be connected to the next by a line segment. If the x-coordinates are taken close enough together, the graph should resemble a smooth curve. The command plot(x, y, ’x‘) will plot the ordered pairs with x’s, but will not connect the points.

For example, to plot the function $f\left(x\right)=\frac{{\displaystyle \sin x}}{{\displaystyle x+1}}$ on the interval $[0,10]$, set

$$\begin{array}{cc}\begin{array}{cc}\mathbf{x}=0:0.2:10& \text{and}\end{array}& \mathbf{y}=\sin \left(\mathbf{\text{x}}\right)\mathrm{.}/\left(\mathbf{\text{x}}+1\right)\end{array}$$

The command plot(x, y) will generate the graph of the function. To compare the graph to that of sin x, we could set $\mathbf{z}=\sin \left(\mathbf{x}\right)$ and use the command plot(x, y, x, z) to plot both curves at the same time. We can include additional arguments in the command to specify ...