/sci/ - Science & Math

>>11487348
> how this preserves lines being lines
In a vector space, a line is given by [math]a+ \lambda b[/math], for fixed [math]a, b \in V[/math] and [math]\lambda[/math] going through all the scalars.
For an affine transformation, we have [math]T(a+ \lambda b) = T(a)+ \lambda T(b)[/math], which is naturally also a line.