Compute the norms (9), (10), (11) for the following (square) matrices. Comment on the reasons for greater or smaller differences among the three numbers.

The matrix in Prob. 5

Data from Prob. 5

Do 5 steps, starting from x₀ = [1    1    1]^T and using 6S in the computation. Make sure that you solve each equation for the variable that has the largest coefficient (why?). Show the details.

10x₁ +     x₂ +       x₃ = 6
    x₁ + 10x₂ +      x₃ = 6
    x₁ +     x₂ + 10x₃ = 6