hw4_solutions - Homework 4 Solutions Math 471 Fall 2007...

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Homework 4 Solutions Math 471, Fall 2007 Assigned: Friday, September 28, 2007 Due: Friday, October 5, 2007 Include a cover page Clearly label all plots using title , xlabel , ylabel , legend Use the subplot command to compare multiple plots Include printouts of all Matlab code, labeled with your name, date, section, etc. (1) (Laguerre’s Method) P. 135 #2d For the first root, the sequence e x is: 0, 0.5210801419038348, 0.5797142865105843, 0.5798104154262124. Deflate the polynomial. For the second root, the sequence e x is: 0, 1.1429652033882083, 1.5033931418129303, 1.5207705987491464, 1.5207734254923810. Deflate the polynomial again. The quadratic equation gives the other two roots are 2.3315151158001272 and -2.4320989567191658. (2) (Matrix Operations) P. 148 #1, 2, 3, 4, 5, 6, 7, 8, 9 1 a. 6 1 8 6 - 1 6 1 b. DNE 2 a. 8 11 7 9 17 20 2 b. 1 - 3 15 2 - 2 23 3 a. 8 - 4 22 1 - 3 4 - 6 - 2 - 14 3 b. 7 - 9 18 - 16 4 a. 2 0 6 - 3 1 5 1 5 10 4 b. 9 14 11 - 8 - 8 2 3 9 12 5 a. 11 3 - 5 - 25 21 - 17 5 b. DNE 6 a. 4 5 - 8 - 9 - 7 19 3 9 6 6 b. 4 1 0 - 5 3 5 9 - 1 10 7 a. 6 7 b. DNE 8 a. DNE 8 b.
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