Question
Asked Dec 27, 2019
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Let W1 and W2 be subspaces of a vector space V. Prove that W1 ∪W2 is a subspace of V if and only if W1 ⊆ W2 or W2 ⊆ W1.

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Expert Answer

Step 1

It is given that W1 and W2 are the two subspaces of the vector space V.

Algebra homework question answer, step 1, image 1
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Step 2

Proof (ii):

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Algebra homework question answer, step 2, image 1
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