Find the two pivots with and without row exchange to maximize the pivot: A _ [ .001 0] -

Chapter 9, Problem 1

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Find the two pivots with and without row exchange to maximize the pivot: A _ [ .001 0] - 1 1000 With row exchanges to maximize pivots, why are no entries of L larger than I? Find a 3 by 3 matrix A with all lau I < 1 and Iij I < 1 but third pivot = 4.

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