Numerical Method - Old Questions

4. What do you mean by ill-conditioned systems? Solve the following system using Dolittle LU decomposition method.(2 + 6)

        3x₁ + 2x₂ + x₃ = 24

        2x₁ + 3x₂ + 2x₃ = 14

        x₁ + 2x₂ + 3x₃ = 14