image processing

1. In general, do affine transformations commute? T1T2 give the same result as T2T? (T1 and T2 are the matrix representations of the transformations.) If not, provide a counter example. That is, provide affine transformation matrices T1 and T2 such that a point mapped by TT2 is different from the same point mapped by T2Ti An affine transformation can be completely specified by its action on three points. What is the matrix for the transformation that maps the points A=(0,0) B-(1,0) and C (0,1) to the points A (2,2) B (1,2) and C-(2,1) respectively? (You can use Matlab.) 2. Draw these points before and after the transformation. What is this transformation doing (in terms of scaling, rotating, shearing, translating, etc.)