linearly independent
Of a set of vectors or ring elements, whose nontrivial linear combinations are nonzeroOf a set of vectors or ring elements, whose nontrivial linear combinations are nonzero.
» The dimension of a vector space equals the largest number of its elements that can be linearly independent.
Die Dimension eines Vektorraums ist gleich der maximalen Anzahl in ihm linear unabhängiger Elemente. — Pfirsichbaeumchen
halfb1t · Tatoeba · CC BY 2.0 FRMeaning
1 senses(not comparable)Of a set of vectors or ring elements, whose nontrivial linear combinations are nonzero.
лине́йно незави́симыйlinéjno nezavísimyj
Examples
1 sentencesThe dimension of a vector space equals the largest number of its elements that can be linearly independent.
deDie Dimension eines Vektorraums ist gleich der maximalen Anzahl in ihm linear unabhängiger Elemente. — Pfirsichbaeumchen
Translations
4 languagesBy meaning 1
Word family
1 related wordsSee also
neighbours in the dictionaryDictionary text adapted from Wiktionary (Wiktionary contributors, CC BY-SA 4.0) and Open English WordNet / Princeton WordNet (CC BY 4.0, WordNet License); shared under CC BY-SA 4.0. Example sentences and recordings are credited where they appear.