Consider Corollary 4.13. Does it work both ways-that is, supposing that V = W1 +

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Consider Corollary 4.13. Does it work both ways-that is, supposing that V = W1 +∙ ∙ ∙ ∙+Wk, is V = W1 ⊕∙ ∙ ∙⊕ Wk if and only if dim(V) = dim(W1)+∙ ∙ ∙ ∙+dim(Wk)?

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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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Consider Corollary 4.13. Does it work both ways-that is, supposing that V = W1 +

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Yes The lefttoright implication is Corollary 413 For the other direction assume that dimV dimW 1 ...View the full answer

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