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[25 POINTS] Show that every subspace W of a vector space V contains the zero vector 0.

User Muminers
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2 Answers

6 votes
The accurate answer is that the
User Pierre Capo
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Not every subset of a vector space contains the zero vector, but every subspace does. So you must verify that 0 is in your subset, as well as that the subset is closed under addition and scalar multiplication.

Hope this helps! I tried my best ^^ Sorry if it's wrong :< I tried.

User Nilson
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