Let V be a vector space and assume that the maps f1, f2: V R1 are linear.

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Let V be a vector space and assume that the maps f1, f2: V †’ R1 are linear.
(a) Define a map F: V †’ R2 whose component functions are the given linear ones.

Show that F is linear.
(b) Does the converse hold-is any linear map from V to R2 made up of two linear component maps to R1?
(c) Generalize.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:01 AM

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Let V be a vector space and assume that the maps f1, f2: V R1 are linear.

Question:

f2(v)

Step by Step Answer:

a Briefly the check of linearity is this b Yes Let 1 R 2 R 1 and ...View the full answer

Linear Algebra

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