Mathematics · Linear Algebra
The set S = {(x, y, z) ∈ ℝ3 : x2 + y2 = 0} is:
- 1not a subspace of ℝ3
- 2a subspace of ℝ3 and dim(S) = 1✓
- 3a subspace of ℝ3 and dim(S) = 2
- 4a subspace of ℝ2 and dim(S) = 2
Correct answer
a subspace of ℝ3 and dim(S) = 1
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