Let S be a subset of an n-dimensional vector space V, and suppose S contains fewer than
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Let S be a subset of an n-dimensional vector space V, and suppose S contains fewer than n vectors. Explain why S cannot span V.
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Note first that n 1 since S cannot have fewer than 1 vector Since n 1 V 0 Suppose that ...View the full answer
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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