2331_hw4 - 23 21 M P E = does both operations at once?...

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1 Name: ______________________ Math 2331 Homework 4 This homework is due in class (at the beginning of class), on the date announced on your instructor’s website. No late homework will be accepted. Please write neatly and staple the pages. Homework from textbook: (turn in the problems marked with *) Section 2.3: 1, 3, 7*, 9, 12, 14, 19*, 23, 25, 27. Section 2.6: 5*, 7*, 11, 16, 19*. Section 2.7: 1*, 3*, 7, 11, 13a*, 17, 19, 34. Problem 1: Which 3 matrices 21 31 32 , , E E E put A into triangular form ? 1 1 2 4 8 0 3 5 0 A = - ; 32 31 21 E E E A U = 21 E = 31 E = 32 E =

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2 Problem 2: If 21 E adds row 1 to row 2 and then 23 P exchanges rows 2 and 3. Which matrix
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Unformatted text preview: 23 21 M P E = does both operations at once? Problem 3: 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) (ii) (iii) 3 Problem 4: Let 2 3 8 9 A = . a) Find the LU decomposition of A. L = U = b) Find the LDU decomposition of A. L = D = U = Problem 5: Let 2 1 2 2 1 R = . T R = T RR = Circle the matrices that are symmetric: T T T R R RR R R...
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This note was uploaded on 02/21/2012 for the course MATH 2331 taught by Professor Staff during the Spring '08 term at University of Houston.

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2331_hw4 - 23 21 M P E = does both operations at once?...

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