[noobermin]

One of the things that always irked me about the term "linear transformation" is it doesn't include affline transformations, which is funny because back in elementary school, you learn that a "linear equation" looks like Mx + b. Of course, the article states the term "linearity" when talking vector spaces (or modules) means linearity in arguments, while the term linear for a child in school means "something like a line on graph paper", and this is yet another example of terminology in the way mathematics is taught, possibly for historical reasons, that leads to even more confusion.

PS. incase you didn't know, affline transformations are not linear:

  f(x) = mx + b =>
  f(x+y) = m(x+y) + b /= mx+b + my+b = f(x) + f(y),
  f(cx) = c m x + b /= c(mx + b) = c f(x)