If f: X Y and h: X Z are linear functions with kernel f

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If f: X → Y and h: X → Z are linear functions with kernel f ⊆ kernel h, then there exists a linear function g: f X → Z such that h = g ∘ f.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:45 AM

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If f: X Y and g: Y Z are linear functions, then so is their composition g f: X Z.
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If f: X Y and h: X Z are linear functions with kernel f

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Suppose were onetoone Then kernel 0 kernel and 1 is a welldefined linear function mapping to ...View the full answer

Foundations of Mathematical Economics

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