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Homework #5 for 445 Due: Feb 24, 2006 Read Chapter 4 of Meerschaert Exercises from the text (Meerschaert) 1. Section 4.4, Problem 5 2. Review the solution methods for the following problems by outlining the solution approach and solving part c) in detail. a) Give the steps in the procedure for finding the eigenvalues and eigenvectors for the n × n matrix A. That is, describe how you would find the non-trivial solutions to the problem (A − λI) u = 0. (Note u and λ are both vectors of length n) b) Show how you would use the result from part a) to solve the problem du = Au dt . c) Find the solution to parts a) and b) for A= . " −4 −1 3 0 #