apply a linear transformation to a plot
ApplyLinearTransformPlot(M2, P2, opts)
ApplyLinearTransformPlot(M3, P3, opts)
2-D plot, list of 2-D points, or one of circle, grid, or square
3-D plot, list of 3-D points, or one of sphere, grid, or cube
plotting options or equation(s) of the form option = value where option is one of iterations, logscale, output, style, trace, or Student plot options; specify options for the plot
The ApplyLinearTransformPlot(M) command plots a circle or sphere and 4 (default value) successive images of that object under the given transformation.
The ApplyLinearTransformPlot(M,P) command plots the object P and 4 (default value) successive images of that object under the transformation defined by M. P can be a plot object, a list of points, or one of the keywords circle, cube, grid, sphere, or square. A list of points can be represented as a list of lists of two algebraic values in the 2-D case, and a list of lists of three algebraic values in the 3-D case.
The opts argument can include any of the Student plot options or any of the following equations that set plot options.
iterations = posint
The number of times the given linear transformation is applied to the object. By default, 4 iterations are applied.
logscale = true or false
If this option is set to true, the transformation x→signum⁡x⁢ln⁡|x|+1 is applied to each point. [Default: false]
output = plot or animation
This option controls the return value of the function. [Default: plot]
* output = plot specifies a plot, showing P and its image under M applied as often as specified by the iterations option.
* output = animation specifies an animation, where the first iteration shows P, with subsequent frames showing the transformation M applied successively.
style = point or line
Selects whether to plot a list of points as points or connected by line segments. This option is ignored if P is not a list of points. [Default: point]
trace = nonnegint or infinity
During an animation, up to this many previous frames will be displayed in the current one. [Default: 0]
caption = anything
A caption for the plot.
The default caption is constructed from the parameters and the command options. caption = "" disables the default caption. For more information about specifying a caption, see plot/typesetting.
infolevelStudentLinearAlgebra ≔ 1:
M1 ≔ 1,13|12,−12:
Eigenvector: < 4.803, 1. >
Eigenvector: < -.3117, 1. >
M2 ≔ 1.0,0.2|0.3,0.9:
Eigenvector: < .8321, .5547 >
Eigenvector: < -.7071, .7071 >
M3 ≔ 1.,0.2,0.3|0.3,0.9,0.3|0.2,0.2,1.:
Eigenvector: < -.7874, .3419, .5129 >
Eigenvector: < .5857, .4496, .6744 >
Eigenvector: < .7071, -.7071, .3955e-15 >
Student plot options
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