Revision as of 01:08, 22 January 2018 edit Rgdboer (talk \| contribs) Autopatrolled, Extended confirmed users, Pending changes reviewers 18,111 edits →Finite vector spaces: re Galois geometry, cite Veblen, ns Refs ← Previous edit		Revision as of 12:48, 7 June 2018 edit undo 100.11.64.227 (talk) →Field Next edit →
Line 11: ==Field== The next simplest example is the field '''F''' itself. Vector addition is just field addition, and scalar multiplication is just field multiplication,. ~~and this~~This property can be used to prove that a field is a vector space. Any non-zero element of '''F''' serves as a basis so '''F''' is a 1-dimensional vector space over itself. The field is a rather special vector space; in fact it is the simplest example of a '''[[algebra over a field\|commutative algebra]]''' over '''F'''. Also, '''F''' has just two [[Linear subspace\|subspaces]]: {0} and '''F''' itself.

Examples of vector spaces: Difference between revisions