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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
ShearingMatrix
ShearingMatrix[
, v, n]
gives the matrix corresponding to shearing by
radians along the direction of the vector v, and normal to the vector n.
DetailsDetails
- ShearingMatrix gives matrices corresponding to shearing with the origin kept fixed.
- ShearingMatrix gives matrices with determinant 1, corresponding to area- or volume-preserving transformations.
- In 2D, ShearingMatrix turns rectangles into parallelograms. ShearingMatrix[
, {1, 0}, {0, 1}] effectively slants by angle
to the right. - In 3D, ShearingMatrix does the analog of shearing a deck of cards by angle
in the direction v, with the cards being oriented so as to have normal vector n.
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