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Problem 2. Let: A (1) where e > 0 is small. Consider two ways of modifying A to make it positive definite. One where only

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Problem 2. Let: A (1) where e > 0 is small. Consider two ways of modifying A to make it positive definite. One where only All is modified, and one where both All and A22 are modified. Show that the norm of the modification that is, any matrix norm of the matrix which needs to be added to A to do the correction) is O(e-) in the first case and O(1) in the second case

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