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BUILT-IN MATHEMATICA SYMBOL

TransformationMatrix

TransformationMatrix[tfun]
gives the homogeneous matrix associated with a TransformationFunction object.

For transformations in n dimensions, TransformationMatrix normally gives an × matrix.

Here

is defined to be a rotation around the

axis:

Get the transformation matrix:

The linear part:

The displacement vector:

Here

is defined to be a rotation around the

axis:

Out[1]=

Get the transformation matrix:

Out[2]=

The linear part:

Out[3]=

The displacement vector:

Out[4]=

Translation matrix in four dimensions:

Transformation of homogeneous coordinates:

Points at infinity do not change under translation:

The matrix of a general 2D affine transform:

Composition of linear fractional transformations corresponds to the product of their matrices: