# Effect of a 3x3 Singular Transformation Matrix on 3D Space

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This Demonstration shows the effect of two 3×3 nonzero singular transformation matrices on 3D space: all points in 3D space are either mapped to a line or plane passing through the origin. Use the sliders to vary the coordinates of the point in the plot on the left and observe its corresponding image point in the plot on the right.

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Contributed by: Roberta Grech (May 2013)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Transformation matrices are usually studied by pure math students in high school in certain countries.

Reference

[1] L. Bostock, S. Chandler, and C. Rourke, *Further Pure Mathematics*, Cheltenham, UK: Stanley Thornes, 1990.

## Permanent Citation

"Effect of a 3x3 Singular Transformation Matrix on 3D Space"

http://demonstrations.wolfram.com/EffectOfA3x3SingularTransformationMatrixOn3DSpace/

Wolfram Demonstrations Project

Published: May 31 2013