EntityQ3527205· pop 6· linked from 75 articlesdimension theorem for vector spacesSign in to saveall bases of a vector space have equally many elementsConnectionsmathematicsEntityalgebraEntitymathematical proofEntitymatrixEntityInternational Standard Serial NumberEntitytheoremEntityvector spaceEntitycardinalityEntitylinear mapEntitybasisEntitycardinal numberEntityaxiom of choiceEntitylinear independenceEntitymoduleEntitylinear combinationEntityZorn's lemmaEntitydimension of a vector spaceEntitykernelEntityindexed familyEntitywithout loss of generalityEntityCategoriesTheorems in abstract algebraTheorems in linear algebra