Using the idea of a vector space we can easily reprove that the solution set of a

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Using the idea of a vector space we can easily reprove that the solution set of a homogeneous linear system has either one element or infinitely many elements. Assume that

(a) Prove that if and only if r = 0.

(b) Prove that if and only if r₁ = r₂.

(d) Use the fact that a nonempty solution set of a homogeneous linear system is a vector space to draw the conclusion.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 01:52 AM

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Using the idea of a vector space we can easily reprove that the solution set of a

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Assume that is not 0 a One direction of the if and only if is clear if r 0 then For the o...View the full answer

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