The linear system Ax = b given by 1 2 1.00001 2 x1 x2 = 3 3.00001 has solution (1, 1)t

Chapter 7, Problem 7.4.8

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The linear system Ax = b given by 1 2 1.00001 2 x1 x2 = 3 3.00001 has solution (1, 1)t . Use seven-digit rounding arithmetic to find the solution of the perturbed system 1 2 1.000011 2 x1 x2 = 3.00001 3.00003 , and compare the actual error to the estimate (7.24). Is A ill-conditioned?

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