(a) Prove that if v1,.......vn are linearly independent, then any subset, e.g., v1.......vk with k < m,...

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(a) Prove that if v1,.......vn are linearly independent, then any subset, e.g., v1.......vk with k <
m, is also linearly independent.
(b) Does the same hold true for linearly dependent vectors? Prove or give a counterexample.

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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 08:31 AM

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(a) Prove that if v1,.......vn are linearly independent, then any subset, e.g., v1.......vk with k < m,...

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a Since v 1 v n are linearly independent 0 c 1 v 1 c ...View the full answer

Applied Linear Algebra

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