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LinearAlgebra Visualization - 1

The visualization component of the Student[LinearAlgebra] subpackage contains routines that can be used to work with and visualize various concepts in an introductory linear algebra course. This worksheet demonstrates the basics of this functionality for problems involving vectors, planes, and linear systems. The companion worksheet, LinearAlgebra Visualization - 2, demonstrates the similar functionality for problems relating to least squares approximation and eigenvectors.

For further information about the commands in the LinearAlgebra package, see the help page for that command. For a general overview, see LinearAlgebra.

Getting Started

Commands in the package can be referred to using the long form, that is, Student[LinearAlgebra][EigenPlot].

It is recommended to load the package first and then use the shorter command names.

 > $\mathrm{restart}$
 > $\mathrm{with}\left(\mathrm{Student}\left[\mathrm{LinearAlgebra}\right]\right):$

The following examples show how the various routines work.

Note: If you set infolevel[Student] := 1 or infolevel[Student[LinearAlgebra]] := 1, many of the routines in this package provide additional information about the objects they are passed in the form of userinfo messages. This setting is recommended.

 > $\mathrm{infolevel}\left[\mathrm{Student}\left[\mathrm{LinearAlgebra}\right]\right]≔1:$