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

NoOne0507

If V is a vectorspace and v is a vector in V. will the projection of v onto V be v?

tiny-tim

Hi NoOne0507!

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.

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NoOne0507	Is a vector in a vectorspace its own projection onto that vectorspace? Tweet If V is a vectorspace and v is a vector in V. will the projection of v onto V be v?

tiny-tim Blog Entries: 27 Recognitions: Gold Member Homework Help Science Advisor	Hi NoOne0507! 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.