Let U be a subspace of R3. Prove that the set for all of vectors that are

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Let U be a subspace of R3. Prove that the set for all of vectors that are perpendicular to each vector in U is also subspace of R3. Does this hold if U is not a subspace?

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 01:58 AM

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Let U be a subspace of R3. Prove that the set for all of vectors that are

Question:

ut = {V|v•ü= 0

Step by Step Answer:

It is nonempty because it contains the zero vector T...View the full answer

Linear Algebra

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