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

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

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