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E={(1,0,0),(0,1,0),(0,0,1),(1,1,1),(1,1,0)}

Is any three vectors of E are linearly independent?

It is clear that E is linearly dependent and any 4 vectors of E are linearly dependent. My book says that the answer of the above question is affirmative. But I think the last three vectors of the set is not linearly independent.

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Of course that the last three vectors are linearly dependent! After all, $(1,1,1)=(0,0,1)+(1,1,0)$.

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  • $\begingroup$ New topic. Very confused sir. Thanks for the help. $\endgroup$ – Kangkan Sep 25 '17 at 8:55
  • $\begingroup$ @Kangkan If my answer was useful, perhaps that you could mark it as your accepted answer. $\endgroup$ – José Carlos Santos Sep 25 '17 at 8:56

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