Suppose that V is a vector space and C is a scalar such that x x for every x V Prove that 1 In other words, Property O is not duplicated for any other scalar but the special scalar, 1 ...

We have 0 x x Property AI x x Hypothesis x 1x P ...

Suppose that V is a vector space and C is a scalar such that x

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Suppose that V is a vector space and α ∈ C is a scalar such that αx = x for every x ∈ V. Prove that α = 1. In other words, Property O is not duplicated for any other scalar but the "special" scalar, 1.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:37 AM

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Suppose that V is a vector space and C is a scalar such that x

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