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notes/berechnungen_wk8.md
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@ -9,9 +9,9 @@ Als Beispiel nehme ich die linearen Unterräume:
Sei x ∈ ℝ⁴. Dann gelten offensichtlich
- x ∈ U₁ ⟺ A₁x = 0,
- x ∈ U₂ ⟺ A₂x = 0,
- x ∈ U₁∩U₂ ⟺ A₃x = (0, 0)ᵀ,
- x ∈ U₁ ⟺ x₁ + 3·x₂ - 4·x₃ - x₄ = 0 ⟺ A₁x = 0,
- x ∈ U₂ ⟺ x₁ - 5·x₂ - 2·x₃ - x₄ = 0 ⟺ A₂x = 0,
- x ∈ U₁∩U₂ ⟺ (x₁ + 3·x₂ - 4·x₃ - x₄ = 0 und x₁ - 5·x₂ - 2·x₃ - x₄ = 0) ⟺ A₃x = (0, 0)ᵀ,
wobei