Eigenspace Package
![m=Table[Random[Integer],{3},{3}];](images/EigenspacePics_gr_1.gif)
![Eigenspace[m]](images/EigenspacePics_gr_3.gif)
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Synopsis
This package provides commands that provide geometrical and numerical information regarding the real eigenvalues and eigenvectors of a matrix. There is also a command for visualizing the span of a pair of vectors in the plane or in space.
Commands
The following commands are provided in this package:
Eigenspace[matrix]
will produce a plot of the eigenspace associated with
each real eigenvalue of matrix, along with a table of eigenvalues and
eigenvectors. The options PointStyle, LineStyle, and PlaneStyle may be set
to a Graphics or Graphics3D directive, or to a list of such directives
(e.g. LineStyle->{Hue[.7], Thickness[.01]}). Any Graphics or Graphics3D
option may also be used.
Eigentable[matrix]
will produce a table showing the real eigenvalues and
eigenvectors for matrix.
ShowSpan[v1]
or ShowSpan[v1,v2] will produce a plot of the subspace which
is the span of v1 or of v1 and v2. Here v1 and v2 are vectors in 2-space or
3-space (such as {1,2,1} or {0,2}). The options PointStyle, LineStyle, and
PlaneStyle may be set to a Graphics or Graphics3D directive, or to a list of
such directives (e.g. LineStyle->{Hue[.7], Thickness[.01]}). Any Graphics or
Graphics3D option may also be used.
Last Updated: June 20, 2002