APPM 2360 Midterm: appm2360fall2015exam3

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31 Jan 2019
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On the front of your bluebook write: (1) your name, (2) your student id number, (3) recitation section (4) your instructor"s name, and (5) a grading table. Text books, class notes, and calculators are not permitted. For the following true/false questions, write true (for always true) or false. Problem 2 short answer questions: (20 points) For the questions in this problem, no motivation or supporting work is required. If yes, what is it? (d) compute the unique eigenvalue of the matrix. A = and the dimension of the associated eigenspace. For the following, you must show your work, do not just quote a formula! (a) consider the special case of (1) Y + y + y = f , (b) now consider the di erent special case of m y + ky = cos(t) , (2) with arbitrary mass and spring constants (m > 0, k > 0).