The matrixplot function defines a three-dimensional graph where the x and y coordinates represent the row and column indices of A, respectively. The z values are the corresponding entries of A.

The remaining arguments are options specified as equations of the form option = value.  For example:

heights=histogram

The plot is drawn in the form of a three-dimensional histogram.

gap=r

The value of r is a real number between 0 and 1.

color=F

The color of the plot is given by F,  where F is a color specification as described in the plot/color help page. F can also be a two-argument procedure returning a single real value to be interpreted as a hue rather than RGB value.

Other options include most of those found with plot3d. These include axes, view, title, labels, style, projection, and orientation.  See plot3d/option.

The result of a call to matrixplot is a PLOT3D structure which can be rendered by the plotting device. You can assign a PLOT3D value to a variable, save it in a file, then read it back in for redisplay.  See plot3d/structure for more information.

$\mathrm{with}\left(\mathrm{plots}\right)\:$

$\mathrm{with}\left(\mathrm{LinearAlgebra}\right)\:$

$A≔\mathrm{HilbertMatrix}\left(8\right)\:$$B≔\mathrm{ToeplitzMatrix}\left(\left[1\,2\,3\,4\,-4\,-3\,-2\,-1\right]\,\mathrm{symmetric}\right)\:$

$\mathrm{matrixplot}\left(\mathrm{`.`}\left(A\,B\right)\right)$

$\mathrm{matrixplot}\left(A\+B\,\mathrm{heights}\=\mathrm{histogram}\,\mathrm{axes}\=\mathrm{boxed}\right)$

$\mathrm{matrixplot}\left(A\+B\,\mathrm{heights}\=\mathrm{histogram}\,\mathrm{axes}\=\mathrm{frame}\,\mathrm{gap}\=0.25\right)$

$F≔\left(x\,y\right)\→\sin \left(xy\right)\:$

$\mathrm{matrixplot}\left(A\+B\,\mathrm{heights}\=\mathrm{histogram}\,\mathrm{axes}\=\mathrm{frame}\,\mathrm{gap}\=0.25\,\mathrm{color}\=F\right)$

$L≔\mathrm{HilbertMatrix}\left(4\,5\right)$

$L≔\left[\begin{array}{ccccc}1& \frac{1}{2}& \frac{1}{3}& \frac{1}{4}& \frac{1}{5}\\ \frac{1}{2}& \frac{1}{3}& \frac{1}{4}& \frac{1}{5}& \frac{1}{6}\\ \frac{1}{3}& \frac{1}{4}& \frac{1}{5}& \frac{1}{6}& \frac{1}{7}\\ \frac{1}{4}& \frac{1}{5}& \frac{1}{6}& \frac{1}{7}& \frac{1}{8}\end{array}\right]$

$\mathrm{matrixplot}\left(L\right)$

$Y≔\mathrm{Matrix}\left(20\,3\,\left(i\,j\right)\→\mathrm{evalf}\left(1\+\sin \left(\frac{ij}{\mathrm{Pi}}\right)\right)\,\mathrm{datatype}\={\mathrm{float}}_8\right)\:$

$\mathrm{plots}:-\mathrm{matrixplot}\left(Y\,\mathrm{heights}\=\mathrm{histogram}\,\mathrm{gap}\=0.5\,\mathrm{color}\=\left(\left(x\,y\right)\→1-\frac{y}{3}\+0.2\right)\,\mathrm{orientation}\=\left[-55\,55\,0\right]\,\mathrm{labels}\=\left[''''\,''''\,''''\right]\right)$

$\mathrm{matrixplot}\left(A\right)$