7.9 2D transformation matrices

An affin transformation of the complex plane called f can be represented by its analytic expression in the canonical base (1,i), the general form of that expression is:

x = t1 + ax + by y = t2 + cx + dy

That analytic expression will be represented by the list [t1+i*t2, a+i*c, b+i*d], ie: [ f(0), f(1)-f(0), f(i)-f(0)], that list will be briefly called (improperly) matrix of the transformation f. The two last elements of that list: [ a+i*c, b+i*d] represent the matrix of the linear part of f:Lf = f - f(0).

  7.9.1 ChangeWinTo
  7.9.2 invmatrix
  7.9.3 matrix
  7.9.4 mulmatrix