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Unformatted text preview: 1 Math 2331 Homework 4 KEY Problem 1: (2 points each) Which 3 matrices 21 31 32 , , E E E put A into triangular form ? 1 1 2 4 8 3 5 A =  ; 32 31 21 E E E A U = 21 1 4 1 1 E =  31 1 1 3 1 E = 32 1 1 2 1 E =  Problem 2: (3 points) If 21 E adds row 1 to row 2 and then 23 P exchanges rows 2 and 3. Which matrix 23 21 M P E = does both operations at once? 1 1 1 1 1 1 1 1 1 1 1 M = = Problem 3: (2 points each) The following matrix needs 3 elimination matrices. What are they? Write both the notation of the matrix (that is, ij E ) and the matrix itself. 2 1 1 2 1 1 2 1 1 2 A = (i) 21 1 1/ 2 1 1 1 E  = (ii) 32 1 1 2 / 3 1 1 E...
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 Spring '08
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 Linear Algebra, Algebra, Matrices

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