Mathematics · Linear Algebra
What is the necessary and sufficient condition for a non-empty subset W of a vector space V(F) to be a subspace of V?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1For all a, b ∈ F, a + b ∈ W
- 2For all a, b ∈ F and u, v ∈ W, u - v ∈ W
- 3For all a, b ∈ F and u, v ∈ W, u + v ∈ W
- 4For all a, b ∈ F and u, v ∈ W, au + bv ∈ W✓
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For all a, b ∈ F and u, v ∈ W, au + bv ∈ W
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