A function f X Y is linear if and only if f (1x1 2x2) 1f(x1) 2f(x2) for all x1, x2 X, and 1, 2 ...

Let x 1 x 2 and 1 2 Homogeneity implies that 1 x 1 1 1 2 x 2 2 2 and ...

A function f : X Y is linear if and only if f (1x1 + 2x2)

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A function f : X → Y is linear if and only if
f (α1x1 + α2x2) = α1f(x1) + α2f(x2)
for all x1, x2 ∊ X, and α1, α2 ∊ ℜ.

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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 11:40 AM

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A function f : X Y is linear if and only if f (1x1 + 2x2)

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Let x 1 x 2 and 1 2 Homogeneity implies that 1 x 1 1 1 2 x 2 2 2 and ...View the full answer

Foundations of Mathematical Economics

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