In Prob 5, compute C (a) If you solve the first equation for x 1 , the second for x 2 , the third for x 3 , proving convergence (b) If you nonsensically solve the third equation for x 1 , the first for x 2 , the second for x 3 , proving divergence Data from Prob 5 Do 5 steps, starting from x 0 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 10x 1 x 2 x 3 6 x 1 10x 2 x 3 6 x 1 x 2 10x 3 6

Question: In Prob. 5, compute C (a) If you solve the first equation for x 1 , the second for x 2 , the third for

In Prob. 5, compute C

(a) If you solve the first equation for x₁, the second for x₂, the third for x₃, proving convergence

(b) If you nonsensically solve the third equation for x₁, the first for x₂, the second for x₃, proving divergence.

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

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