In the case where the base ring R is a field (all of typical linear algebra), then the space associated to it is a point. So a vector bundle over this point is

In the case where the base ring R is a field (all of typical linear algebra), then the space associated to it is a point. So a vector bundle over this point is just a vector space, so we didn't really gain any extra geometry here - if you want a way of picturing linear algebra geometrically, you still need some other idea.