Question: Given two matrices 2 -1 1 2 -2 A = 1 1 1 1 1 1 1 -2 2 2 If one uses Jacobi

Given two matrices 2 -1 1 2 -2 A = 1 1

Given two matrices 2 -1 1 2 -2 A = 1 1 1 1 1 1 1 -2 2 2 If one uses Jacobi iteration to solve linear systems A = b and Bi = b respectively, does it converge? Here b is an arbitrary random vector. What about Gauss-Seidel? You must justify your answer.

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