Let S be a basis for an n-dimensional vector space V. Show that if v1, v2, ...

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Let S be a basis for an n-dimensional vector space V. Show that if v1, v2, ... vr form a linearly independent set of vectors in V, then the coordinate vectors (v1)s, (v2)s, (vr)s form a linearly independent set in Rn, and conversely.

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Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

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Question Posted: Jun 17, 2016 08:05 AM

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Let S be a basis for an n-dimensional vector space V. Show that if v1, v2, ...

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First if v and w are vectors in V and a and b are scalars t...View the full answer

Elementary Linear Algebra with Applications

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