IEVref:
102-03-05
ID:
Language:
en
Status:
Standard
Term:
linearly independent, adj
Synonym1:
Synonym2:
Synonym3:
Symbol:
Definition:
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@
cannot be equal to zero unless all scalar coefficients
α
1
,
α
2
,
...
,
α
n
MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg7aHnaaBaaale aaieaajug4aiaa=fdaaSqabaGccaqGSaGaaGjbVlabeg7aHnaaBaaa leaajug4aiaa=jdaaSqabaGccaqGSaGaaGjbVlaab6cacaqGUaGaae OlaiaabYcacaaMe8UaeqySde2aaSbaaSqaaiaad6gaaeqaaaaa@4C1C@
are equal to zero
Publication
date
:
2017-07
Source
Replaces:
102-03-05:2007-08
Internal notes:
CO remarks:
TC/SC remarks:
VT remarks:
Domain1:
Domain2:
Domain3:
Domain4:
Domain5:
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@
cannot be equal to zero unless all scalar coefficients
α
1
,
α
2
,
...
,
α
n
MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg7aHnaaBaaale aaieaajug4aiaa=fdaaSqabaGccaqGSaGaaGjbVlabeg7aHnaaBaaa leaajug4aiaa=jdaaSqabaGccaqGSaGaaGjbVlaab6cacaqGUaGaae OlaiaabYcacaaMe8UaeqySde2aaSbaaSqaaiaad6gaaeqaaaaa@4C1C@
are equal to zero