Change the Dog: Matrix Transformations

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Don Cohen, the Mathman, decided to write "Changing Shapes with Matrices" to share his interest and excitement about the ideas of changing shapes using matrices. The "dog" is taken from Don's book. I added the cat and mouse.

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As you drag the sliders, ask yourself what happens when you change , , , and . Which direction does the figure move? Which numbers "flip" the figure over the axis? Over the axis? What numbers make the figure bigger or smaller?

If you like the transformation, select the graphic, then copy and save it in a separate file.

Don't stop there! Try some of your own on paper. Here's some graph paper. See an example of one of Don's students, Valorie, here.

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Contributed by: Lori Johnson Morse (June 2010)
Based on an idea by: Don Cohen
Open content licensed under CC BY-NC-SA


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Reference:

Don Cohen, Changing Shapes with Matrices.



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