#797 – Scale Transforms Using Homogeneous Coordinates

You can apply a scale transform to a 2D point using a 2 x 2 transformation, multiplying it by a 2 x 1 point matrix.  This results in a second 2 x 1 point matrix that represents the transformed (scaled) point.

In WPF, however, scaling transforms are done using homogeneous coordinates, which means that we multiply a 3 x 3 transformation matrix by a 3 x 1 point matrix.

In the resulting 3 x 1 matrix, the first and second rows contain the x and y values of the transformed (scaled) point.