Is a vector in a vectorspace its own projection onto that vectorspace?

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SUMMARY

In the context of vector spaces, if V is a subspace of a vector space W and v is a vector in V, then the projection of v onto V is indeed v. This conclusion confirms that any vector in its own subspace retains its identity upon projection. The discussion clarifies the relationship between a vector and its subspace, emphasizing the properties of projections in linear algebra.

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If V is a vectorspace and v is a vector in V. will the projection of v onto V be v?
 
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Hi NoOne0507! :wink:

If you mean "if V is a subspace of vectorspace W and v is a vector in V will the projection of v onto V be v?", the answer is, yes. :smile:
 

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