Let and let H be the set of vectors in R 3 whose second and third entries

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Let

and let H be the set of vectors in R³ whose second and third entries are equal. Then every vector in H has a unique expansion as a linear combination of v₁, v₂, v₃, because

for any s and t . Is {v₁, v₂, v₃} a basis forH? Why or why not?

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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Question Posted: May 03, 2023 04:39 AM

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Let and let H be the set of vectors in R 3 whose second and third entries

Question:

------- V1 = 0 = 1 V3 = 1 0

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In order for the set to be a basis for H V V V3 must be ...View the full answer

Linear Algebra And Its Applications

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