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(b) In general, let P denote the permutation matrix which interchanges row i and row j. Let Ek be an elementary row operation matrix

(b) In general, let P denote the permutation matrix which interchanges row i and row j. Let Ek be an elementary row operation matrix used in Gaussian elimination. Show that if i> j>k, then PE = EkP, where Ek has the same form as Ek. What is the difference between Ek and Ek?

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