set_2_problem - Problem Set # 2 MMAE: 501 Engineering...

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Unformatted text preview: Problem Set # 2 MMAE: 501 Engineering Analysis I Kevin W. Cassel Mechanical, Materials and Aerospace Engineering Department Illinois Institute of Technology 10 West 32nd Street Chicago, IL 60616 [email protected] Problem Reference Problem # 1: Hilderbrand, Chapter 1, Problem 11 Problem # 2: Hilderbrand, Chapter 1, Problem 35 Problem # 3: Hilderbrand, Chapter 1, Problem 39 Problem # 4: Jeffrey, Section 2.2, Problem 26 Problem # 5: Jeffrey, Section 2.5, Problem 27 Problem # 6: Jeffrey, Section 2.5, Problem 28 Problem # 7: Jeffrey, Section 2.7, Problem 5 Problem # 8: Jeffrey, Section 3.9, Problem 9 c 2007 Kevin W. Cassel 1 Problem # 1 Determine those values λ for which the following set of equations may possess a nontrivial solution: 3 x 1 + x 2- λx 3 = 0 4 x 1- 2 x 2- 3 x 3 = 0 2 λx 1 + 4 x 2 + λx 3 = 0 . For each permissible value of λ , determine the most general solution. Problem # 2 a) By investigating ranks of relevant matrices, show that the following set of equations possesses a one-parameter family of solutions:...
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This note was uploaded on 09/24/2010 for the course MMAE 501 taught by Professor Kevincassel during the Spring '10 term at Illinois Tech.

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set_2_problem - Problem Set # 2 MMAE: 501 Engineering...

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