This exercise makes the notation of writing '+' between sets more natural. Prove that, where W1, .

Question:

This exercise makes the notation of writing '+' between sets more natural. Prove that, where W1, . . . . . ,Wk are subspaces of a vector space,

and so the sum of subspaces is the subspace of all sums.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 01:57 AM

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This exercise makes the notation of writing '+' between sets more natural. Prove that, where W1, .

Question:

W, +..+Wi = {w +w2 + .+ Wk |Wi E W1,..., W E Wr),

Step by Step Answer:

Set inclusion one way is easy is a subset of W 1 W k because each is a sum of vec...View the full answer

Linear Algebra

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