LinearTransformPlotTutor - Maple Help

Student[LinearAlgebra][LinearTransformPlotTutor] - plot the action of a linear transform

 Calling Sequence LinearTransformPlotTutor(M)

Parameters

 M - (optional) Matrix; linear transformation Matrix

Description

 • The LinearTransformPlotTutor(M) command graphically displays the domain and codomain of the linear transformation corresponding to the Matrix M applied to the unit interval, unit circle, or unit sphere.
 • The parameter M is the Matrix, with at most 3 rows and 3 columns, from which the eigenvectors will be computed. If M is not provided, a default Matrix is used. In either case, you can edit the entries of the Matrix interactively from within the Maplet application.
 • The number of columns of M corresponds to the dimension of the domain of the linear transformation; similarly, the number of rows corresponds to the dimension of the codomain.
 • When you close the Maplet application, the plot of the domain and codomain appears in your Maple session.
 • To change the default colors of the plot objects, see the Student[SetColors] help page.
 • When the LinearTransformPlotTutor is running, interaction with the worksheet is not possible.

Examples

 > $\mathrm{with}\left(\mathrm{Student}\left[\mathrm{LinearAlgebra}\right]\right):$
 > $M≔⟨⟨1,2,0⟩|⟨2,3,2⟩|⟨0,2,1⟩⟩$
 ${M}{≔}\left[\begin{array}{ccc}{1}& {2}& {0}\\ {2}& {3}& {2}\\ {0}& {2}& {1}\end{array}\right]$ (1)
 > $\mathrm{LinearTransformPlotTutor}\left(M\right)$