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Comment on Relearning Matrices as Linear Functionsparent

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They can if you add a dimension to the space. That's one of the reasons 3d graphics use 4d vectors and matrices.

You're talking about translation.

No, I wasn't, but I did confuse the terms. Shear can be done without the extra dimension. Skew transforms require the extra dimension, as does translation.

What do you mean by skew? A perspective transformation (homography)? I'm not sure it's standard terminology.

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