Where can I learn more about shear matrices? The Wikipedia article is not enough, and sadly it does not have any references. I understand they are linear transformations. Do they form a group? How do they look like for n-dimensional vectors? How many independent shears can I do in n-dimensions? Are they related to the orthogonal group SO(D), perhaps contained? Google takes me to this other [website][1]. It is almost enough, but again no references. I am trying to do some physics with this, so I do not think you will tolerate my explanation. ;-) [1]: http://cse.taylor.edu/~btoll/s99/424/res/mtu/Notes/geometry/geo-tran.htm