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 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: 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

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

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