Prove that f is multilinear if and only if for all , V and k1, k2 R, this holds f(P1, ,kvi k2v2, Pn) k, f(p1, ,V1, , Pn) kzf(pi, , V2, , Pn)...

For the if half the first condition of Definition 32 follows from tak ...

Prove that f is multilinear if and only if for all , V and k1, k2 R,

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Prove that f is multilinear if and only if for all , ˆˆ V and k1, k2 ˆˆ R, this holds.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:13 AM

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Prove that f is multilinear if and only if for all , V and k1, k2 R,

Question:

f(P1,...,kvi + k2v2,... Pn) = k, f(p1,...,V1,..., Pn)+ kzf(pi,..., V2, ..., Pn)

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For the if half the first condition of Definition 32 follows from tak...View the full answer

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