Mathematics · Vector Space
If W1 and W2 are subspaces of a finite-dimensional vector space V, then dim W1 + dim W2 is equal to:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1dim(W1 + W2) + dim(W1 ∩ W2)✓
- 2dim(W1 + W2) - dim(W1 ∩ W2)
- 3dim(W1 ∩ W2)
- 4dim(W1 + W2)
Correct answer
dim(W1 + W2) + dim(W1 ∩ W2)
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