This section should explain that R^n is a vector space, but that it can represent other vector spaces. The element of R^n representing a fixed abstract vector depends on the basis. So, while R^n is itself a vector space, it's almost always more useful to think of it as a representation of other vector spaces in a particular basis.
This section should explain that R^n is a vector space, but that it can represent other vector spaces. The element of R^n representing a fixed abstract vector depends on the basis. So, while R^n is itself a vector space, it's almost always more useful to think of it as a representation of other vector spaces in a particular basis.