Question: 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)

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? Draw these points before and after the transformation. What is this transformation doing (in terms of scaling, rotating, shearing, translating, etc.)?

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