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For two subspaces W1 and W2 of V, their sum W1 + W2 is a direct sum (denoted W1 ...

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For two subspaces W1 and W2 of V, their sum W1 + W2 is a direct sum (denoted W1 ⊕ W2) if and only if

W1 ∪ W2 = V

20%

W1 ∩ W2 = {0}

60%

dim(W1) = dim(W2)

20%

W1 ⊆ W2 or W2 ⊆ W1

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