3 ms·
I know, I would have liked to have linear transformations and vector spaces moved forward, but without the computational skills (grunt work) you can't really do
by ivan_ah 13y ago
I know, I would have liked to have linear transformations and vector spaces moved forward, but without the computational skills (grunt work) you can't really do much with vector spaces and lin. trans. except define them.
Hence the current ordering of chapters...
- nbouscal 13y agoThen just define them! The entire subject is about linear transformations on vector spaces. The biggest problem with linear algebra as its taught today is that students uniformly come out with an understanding that linear algebra is about matrices. It should be made clear that a matrix is simply a representation of a transformation, and then when you do teach the grunt work operations, you can teach them as what they actually are (multiplication: composition of transformations, determinant: area of unit square under transformation, etc.)