[jostmey]

A lot of people don't appreciate the utility of Linear Algebra because they fail to see how the core theorems generalize beyond Cartesian coordinates. Sure, the basic operators of a vector space such as "+" and "*" look boringly familiar, but these operations can be overloaded to carry out other calculations just like in computer programming. The fact that you can represent any "vector space" with a basis set and that every possible basis set for that vector space will have the same dimensionality is pretty cool and useful.