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Unformatted text preview: Math 240 Final Exam, spring 2011 Name (printed): TA: Recitation Time: This examination consists of ten (10 problems). Please turn off all electronic devices . You may use both sides of a 8 . 5 × 11 sheet of paper for notes while you take this exam. No calculators, no course notes, no books, no help from your neighbors. Show all work , even on multiple choice or short answer questions—the grading will be bases on your work shown as well as the end result. Please fill in your final answer in the underlined space in each problem. Remember to put your name at the top of this page. Good luck. My signature below certifies that I have complied with the Univer sity of Pennsylvania’s code of academic integrity in completing this examination. Your signature Problem Score (out of) 1 (10) 2 (10) 3 (10) 4 (10) 5 (10) 6 (10) 7 (10) 8 (10) 9 (10) 10 (10) Total (100) 1. (10 pts) (a) Give an example of a 3 × 3 matrix A which has only two distinct eigenvalues and A is not diagonalizable. In other words, there does not exist an invertible 3 × 3 matrix C such that C 1 · A · C is a diagonal matrix. Justify your answer ....
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This note was uploaded on 03/06/2012 for the course MATH 240 taught by Professor Storm during the Fall '08 term at UPenn.
 Fall '08
 Storm
 Math

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