Numerical Method - Old Questions

4. What is pivoting? Why is it necessary? Explain. Solve the following set of equations using Gauss elimination or Gauss Seidel method.(3 + 5)

        x₁ + 10x₂ +x₃ = 24

        10x₁ + x₂ + x₃ = 15

        x₁ + x₂ + 10x₃ = 33