(a) Can you construct an example of a subset S R2 with the property that eve...

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(a) Can you construct an example of a subset S ⊂ R2 with the property that eve S for any c ∈ R, v ∈ S, and yet S is not a subspace?
(b) What about an example where v + w ∈ S for every v, w ∈ S, and yet S is not a subspace?

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:30 AM

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(a) Can you construct an example of a subset S R2 with the property that eve...

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a Yes For instance the set S x 0 0 y consisting of the coord...View the full answer

Applied Linear Algebra

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