How does Mathematica implement
In other words given the parameters $\theta$, $n$ and $v$, what is the formula behind it?
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The code of symbols implemented in top-level can be seen by using
ShearingMatrix, one can evaluate
and then click on
System`TransformConstructorDump`iShearingMatrix to view the formula used.
PrintDefinitions is available from version 10.1. For earlier versions of Mathematica, other spelunking tools can be found in this post.