Mathematics · Linear Algebra
Which of the following is a subspace of ℝ 3 ?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1W = { (x, y, z) ∈ ℝ 3 : x ∈ ℚ }
- 2W = { (x, y, z) ∈ ℝ 3 : 2x + 3y - 4z = 0 }✓
- 3W = { (x, y, z) ∈ ℝ 3 : xy = 0 }
- 4W = { (x, y, z) ∈ ℝ 3 : x + 4y - 10z = -2 }
Correct answer
W = { (x, y, z) ∈ ℝ 3 : 2x + 3y - 4z = 0 }
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