General scaling

Describe the transformation represented by matrix S = {{2,0},{0,1}}.[br]Find scaling axes, i.e. fixed directions.
General scaling has a separate scale factor for each axis direction. Non-uniform scaling is obtained when at least one of the scaling factors is different from the others; a special case is directional scaling or stretching (in one direction). Non-uniform scaling changes the shape of the object; e.g. a square may change into a rectangle, or into a parallelogram if the sides of the square are not parallel to the scaling axes.
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[/img]

Information: General scaling