(a) Prove that the set of all vectors (x, y,z)T such that x -y + 4z =...

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(a) Prove that the set of all vectors (x, y,z)T such that x -y + 4z = 0 forms a subspace of R3.
(b) Explain why the set of all vectors that satisfy x - y + 4z = 1 does not form 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 08:29 AM

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(a) Prove that the set of all vectors (x, y,z)T such that x -y + 4z =...

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a b For instance the zero vector 0 0 0 0 T does not ...View the full answer

Applied Linear Algebra

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