IEVref:102-03-06ID:
Language:enStatus: Standard
Term: linearly dependent, adj
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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@ 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


Publication date:2017-07
Source
Replaces:102-03-06:2007-08
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