Question: Visualizing the link between matrices and rotations in R^3

Hi,

For pedagogical purposes, I am looking for a dynamic way to visualize the link between matrices and rotations in IR^3, for example through the rotation of a cube around the coordinate axes, as in the attached image.

 

My main goal is to help students better understand how the matrix acts geometrically in space through a clear dynamic representation.

If you have ideas, examples, or Maple approaches that could help illustrate this dynamically, I would be very grateful.

Many thanks in advance for your insight.

Question_R^3.mw

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