Mathematics · Vector Spaces
Consider the following statements regarding vector spaces: A. If U and W are finite-dimensional subspaces of a vector space V, then dim(U + W) = dim U + dim W - dim(U ∩ W). B. Let V = R 3 . If W = {(a, b, c) : a ≥ 0}, then W is a subspace of V. C. If u = (1, 2) and v = (-3, -5), then u and v are linearly independent. D. (1, 1, 1) and (1, 0, 1) form a basis of R 3 . Choose the correct statement(s) from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A and C only✓
- 2A and D only
- 3B and C only
- 4B and D only
Correct answer
A and C only
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