Mathematics · Linear Algebra
Let W1 = { [a, b; -b, 2a] : a, b ∈ ℝ } and W2 = { [a, b; -b, -a] : a, b ∈ ℝ } be two subspaces of M2(ℝ). Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1W 1 + W 2 is a proper subset of M 2 (ℝ)
- 2W 1 + W 2 = M 2 (ℝ)
- 3{ [0, 0; 0, 0] } is a proper subset of W 1 ∩ W 2
- 4W 1 ∩ W 2 = { [0, 0; 0, 0] }✓
Correct answer
W 1 ∩ W 2 = { [0, 0; 0, 0] }
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