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xkehaulanix
 4 years ago
True or False? If a set in R^n is linearly dependent, then the set contains more vectors than there are entries in each vector.
Gut instinct said true according to a theorem stating that a set with more vectors than entries in each vector is linearly dependent. Then another gut instinct said I was wrong.
xkehaulanix
 4 years ago
True or False? If a set in R^n is linearly dependent, then the set contains more vectors than there are entries in each vector. Gut instinct said true according to a theorem stating that a set with more vectors than entries in each vector is linearly dependent. Then another gut instinct said I was wrong.

This Question is Closed

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.2(1,1)(2,2) are linearly dependent and don't have that issue, so linear dependency does not imply more vectors than entries unless you only consider reduced form...

xkehaulanix
 4 years ago
Best ResponseYou've already chosen the best response.0...Well since you found a counterexample, I'd say you're pretty spot on. Thanks!
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