A simple matrix factorization interactive visualisation. The 'direct' checkbox shows the default matrix transformation, and the 'factor' checkbox shows the transformation in two steps: first, projecting on a 2D space, and then  embedding that 2D space back into 3D space. The 'offset_plane' checkbox shows that 2D plane with an offset to emphasize that it isn't a 2D plane inside the 3D space, but a completely different vector space of just 2 dimensions.

If you leave both 'direct' and 'factor' checkboxes on and fiddle with the 'time', you can see how both transformations are actually the same.

It's not as pretty or as fun as I would like it to be, but hopefully it's useful

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