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4. Sharpness of condition number estimates [4pt] Let A E R^n x n be invertible. Let b E R^n\{0},and Ax = b, Ax' = b' and denote the perturbations by Ab = b' – b and Ax = x' – x . Show that the inequality obtained in Theorem 2.11 is sharp. That is, find vectors b, Ab for which \frac{\|\Delta x\|_{2}}{\|x\|_{2}}=\kappa_
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