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Area Mathematics - General concepts and linear algebra / Vectors and tensors
IEV ref 102-03-06
en
 linearly dependent, adj
qualifies n vectors U 1 ,  U 2 , ...,  U n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahwfadaWgaaWcba acbaqcLboacaWFXaaaleqaaOGaaeilaiaaysW7caWHvbWaaSbaaSqa aKqzGdGaa8NmaaWcbeaakiaabYcacaaMe8UaaeOlaiaab6cacaqGUa GaaeilaiaaysW7caWHvbWaaSbaaSqaaiaad6gaaeqaaaaa@49D9@ where a linear combination such as α 1 U 1 + α 2 U 2 +...+ α n U n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg7aHnaaBaaale aaieaajug4aiaa=fdaaSqabaGccaWHvbWaaSbaaSqaaKqzGdGaa8xm aaWcbeaakiabgUcaRiabeg7aHnaaBaaaleaajug4aiaa=jdaaSqaba GccaWHvbWaaSbaaSqaaKqzGdGaa8NmaaWcbeaakiabgUcaRiaac6ca caGGUaGaaiOlaiabgUcaRiabeg7aHnaaBaaaleaacaWGUbaabeaaki aahwfadaWgaaWcbaGaamOBaaqabaaaaa@5057@ can be equal to zero even if not all scalar coefficients α 1 ,  α 2 , ⋯,  α n MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg7aHnaaBaaale aajug4aiaabgdaaSqabaGccaqGSaGaaGjbVlabeg7aHnaaBaaaleaa jug4aiaabkdaaSqabaGccaqGSaGaaGjbVlabl+UimjaabYcacaaMe8 UaeqySde2aaSbaaSqaaiaad6gaaeqaaaaa@4874@ are equal to zero
fr
 linéairement dépendant, adj
qualifie n vecteurs U 1 ,  U 2 , ...,  U n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahwfadaWgaaWcba acbaqcLboacaWFXaaaleqaaOGaaeilaiaaysW7caWHvbWaaSbaaSqa aKqzGdGaa8NmaaWcbeaakiaabYcacaaMe8UaaeOlaiaab6cacaqGUa GaaeilaiaaysW7caWHvbWaaSbaaSqaaiaad6gaaeqaaaaa@49D9@ lorsqu'une combinaison linéaire de la forme α 1 U 1 + α 2 U 2 +...+ α n U n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg7aHnaaBaaale aaieaajug4aiaa=fdaaSqabaGccaWHvbWaaSbaaSqaaKqzGdGaa8xm aaWcbeaakiabgUcaRiabeg7aHnaaBaaaleaajug4aiaa=jdaaSqaba GccaWHvbWaaSbaaSqaaKqzGdGaa8NmaaWcbeaakiabgUcaRiaac6ca caGGUaGaaiOlaiabgUcaRiabeg7aHnaaBaaaleaacaWGUbaabeaaki aahwfadaWgaaWcbaGaamOBaaqabaaaaa@5057@ peut être nulle même si tous les coefficients scalaires α 1 ,  α 2 , ⋯,  α n MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg7aHnaaBaaale aajug4aiaabgdaaSqabaGccaqGSaGaaGjbVlabeg7aHnaaBaaaleaa jug4aiaabkdaaSqabaGccaqGSaGaaGjbVlabl+UimjaabYcacaaMe8 UaeqySde2aaSbaaSqaaiaad6gaaeqaaaaa@4874@ ne sont pas nuls
de
 linear abhängig, adj
es
 linealmente dependiente
ko
 선형종속
일차종속
ja
 一次従属の
nl
 be lineair afhankelijk, adj
pl
 liniowo zależny, adj
pt
 linearmente dependente, adj
sr
 линеарно зависан, придев
sv
 linjärt beroende
zh
 线性相关的
Publication date: 2017-07
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