Write M = [~~] as a product of many factors A = un and B = [A U. 1 (a) What matrix E
Chapter 2, Problem 30(choose chapter or problem)
Write M = [~~] as a product of many factors A = un and B = [A U. 1? (a) What matrix E subtracts row 1 from row 2 to make row 2 of EM smaller? (b) What matrix F subtracts row 2 of EM from row 1 to reduce row 1 of FE M? (c) Continue E's and F's until (many E's and F's) times (M) is (A or B). (d) E and F are the inverses of A and B! Moving all E's and F's to the right side will give you the desired result M = product of A's and B's. This is possible for integer matrices M = [~ ~] > 0 that have ad - bc = 1.
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