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Mathematica > Geometric Transforms >

Built-in Mathematica Symbol

ScalingTransform

ScalingTransform[{s_x, s_y, ...}]
gives a TransformationFunction that represents scaling by a factor s_i along each coordinate axis from the origin.

ScalingTransform[{s_x, s_y, ...}, p]
gives scaling centered at the point p.

ScalingTransform[s, v]
gives scaling by a factor s along the direction of the vector v.

ScalingTransform[s, v, p]
gives scaling along the direction of v, centered at the point p.

ScalingTransform gives a TransformationFunction which can be applied to vectors.

Scaling along the coordinate axes:

Scaling along the vector

by a factor s: