Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Rank–nullity_theorem> ?p ?o. }
Showing items 1 to 23 of
23
with 100 items per page.
- Rank–nullity_theorem abstract "In mathematics, the rank–nullity theorem of linear algebra, in its simplest form, states that the rank and the nullity of a matrix add up to the number of columns of the matrix. Specifically, if A is an m-by-n matrix (with m rows and n columns) over some field, then .This applies to linear maps as well. Let V and W be vector spaces over some field and let T : V → W be a linear map. Then the rank of T is the dimension of the image of T and the nullity of T is the dimension of the kernel of T, so we haveor, equivalently,One can refine this statement (via the splitting lemma or the below proof) to be a statement about an isomorphism of spaces, not just dimensions.More generally, one can consider the image, kernel, coimage, and cokernel, which are related by the fundamental theorem of linear algebra.".
- Rank–nullity_theorem wikiPageID "330310".
- Rank–nullity_theorem wikiPageRevisionID "595664032".
- Rank–nullity_theorem subject Category:Articles_containing_proofs.
- Rank–nullity_theorem subject Category:Isomorphism_theorems.
- Rank–nullity_theorem subject Category:Theorems_in_linear_algebra.
- Rank–nullity_theorem comment "In mathematics, the rank–nullity theorem of linear algebra, in its simplest form, states that the rank and the nullity of a matrix add up to the number of columns of the matrix. Specifically, if A is an m-by-n matrix (with m rows and n columns) over some field, then .This applies to linear maps as well. Let V and W be vector spaces over some field and let T : V → W be a linear map.".
- Rank–nullity_theorem label "Rangsatz".
- Rank–nullity_theorem label "Rank–nullity theorem".
- Rank–nullity_theorem label "Teorema del rango".
- Rank–nullity_theorem label "Théorème du rang".
- Rank–nullity_theorem label "Twierdzenie o rzędzie".
- Rank–nullity_theorem label "秩－零化度定理".
- Rank–nullity_theorem label "階数・退化次数の定理".
- Rank–nullity_theorem sameAs Rank%E2%80%93nullity_theorem.
- Rank–nullity_theorem sameAs Rangsatz.
- Rank–nullity_theorem sameAs Théorème_du_rang.
- Rank–nullity_theorem sameAs Teorema_del_rango.
- Rank–nullity_theorem sameAs 階数・退化次数の定理.
- Rank–nullity_theorem sameAs Twierdzenie_o_rzędzie.
- Rank–nullity_theorem sameAs Q303402.
- Rank–nullity_theorem sameAs Q303402.
- Rank–nullity_theorem wasDerivedFrom Rank–nullity_theorem?oldid=595664032.