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Unformatted text preview: Signature Printed Name My signature above certifies that I have complied with the University of Pennsylvanias Code of Academic Integrity in completing this examination. Math 425 Exam 2 Jerry L. Kazdan April 26, 2011 12:00 1:20 Directions This exam has three parts, Part A, short answer, has 1 problem (10 points). Part B has 4 shorter problems (9 points each, so 36 points). Part C has 3 traditional problems (15 points each so 45 points). Total is 91 points. Closed book, no calculators or computers but you may use one 3 00 5 00 card with notes on both sides. Part A: Short Answer (1 problem, 10 points). 1. Let S and T be linear spaces and A : S T be a linear map. Say V and W are particular solutions of the equations A V = Y 1 and A W = Y 2 , respectively, while Z 6 = 0 is a solution of the homogeneous equation A Z = 0. Answer the following in terms of V , W , and Z . a) Find some solution of A X = 3 Y 1 ....
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