Mathematics · Linear Algebra
Consider the matrix A = 11α1-10β21-1γ0. Which of the following statements is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1ATx = 0 has a unique solution ∀ α, β, γ
- 2ATx = b is consistent ∀ b ∈ &mathbb;R4×1
- 3If α + β + γ = 1, then ATx = 0 has infinitely many solutions✓
- 4If Ax = b is consistent ∀ b ∈ &mathbb;R3×1, then α = β = γ = 0
Correct answer
If α + β + γ = 1, then ATx = 0 has infinitely many solutions
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